diff --git a/packages/bcp/src/cosmwasmconnection.spec.ts b/packages/bcp/src/cosmwasmconnection.spec.ts
index 6272c09a..269b08af 100644
--- a/packages/bcp/src/cosmwasmconnection.spec.ts
+++ b/packages/bcp/src/cosmwasmconnection.spec.ts
@@ -496,7 +496,7 @@ describe("CosmWasmConnection", () => {
     });
   });
 
-  describe("integration tests", () => {
+  describe("searchTx", () => {
     it("can post and search for a transaction", async () => {
       pendingWithoutWasmd();
       const connection = await CosmWasmConnection.establish(httpUrl, defaultPrefix, defaultConfig);
@@ -587,6 +587,215 @@ describe("CosmWasmConnection", () => {
       connection.disconnect();
     });
 
+    it("can search by minHeight and maxHeight", async () => {
+      pendingWithoutWasmd();
+      const connection = await CosmWasmConnection.establish(httpUrl, defaultPrefix, defaultConfig);
+      const profile = new UserProfile();
+      const wallet = profile.addWallet(Secp256k1HdWallet.fromMnemonic(faucet.mnemonic));
+      const sender = await profile.createIdentity(wallet.id, defaultChainId, faucet.path);
+      const senderAddress = connection.codec.identityToAddress(sender);
+
+      const recipient = makeRandomAddress();
+      const unsigned = await connection.withDefaultFee<SendTransaction>({
+        kind: "bcp/send",
+        chainId: defaultChainId,
+        sender: senderAddress,
+        recipient: recipient,
+        memo: "My first payment",
+        amount: {
+          quantity: "75000",
+          fractionalDigits: 6,
+          tokenTicker: cosm,
+        },
+      });
+      const nonce = await connection.getNonce({ address: senderAddress });
+      const signed = await profile.signTransaction(sender, unsigned, connection.codec, nonce);
+      const postableBytes = connection.codec.bytesToPost(signed);
+      const response = await connection.postTx(postableBytes);
+      const { transactionId } = response;
+      const blockInfo = await response.blockInfo.waitFor(info => !isBlockInfoPending(info));
+      assert(isBlockInfoSucceeded(blockInfo));
+      const { height } = blockInfo;
+
+      // search by ID
+      {
+        const results = await connection.searchTx({ id: transactionId });
+        expect(results.length).toEqual(1);
+      }
+      {
+        const results = await connection.searchTx({ id: transactionId, minHeight: height });
+        expect(results.length).toEqual(1);
+      }
+      {
+        const results = await connection.searchTx({ id: transactionId, minHeight: height - 2 });
+        expect(results.length).toEqual(1);
+      }
+      {
+        const results = await connection.searchTx({ id: transactionId, maxHeight: height });
+        expect(results.length).toEqual(1);
+      }
+      {
+        const results = await connection.searchTx({ id: transactionId, maxHeight: height + 2 });
+        expect(results.length).toEqual(1);
+      }
+      {
+        const results = await connection.searchTx({
+          id: transactionId,
+          minHeight: height,
+          maxHeight: height,
+        });
+        expect(results.length).toEqual(1);
+      }
+      {
+        const results = await connection.searchTx({ id: transactionId, minHeight: height + 1 });
+        expect(results.length).toEqual(0);
+      }
+      {
+        const results = await connection.searchTx({ id: transactionId, maxHeight: height - 1 });
+        expect(results.length).toEqual(0);
+      }
+      {
+        const results = await connection.searchTx({
+          id: transactionId,
+          minHeight: height + 1,
+          maxHeight: Number.MAX_SAFE_INTEGER,
+        });
+        expect(results.length).toEqual(0);
+      }
+      {
+        const results = await connection.searchTx({ id: transactionId, minHeight: 0, maxHeight: height - 1 });
+        expect(results.length).toEqual(0);
+      }
+
+      // search by recipient
+      {
+        const results = await connection.searchTx({ sentFromOrTo: recipient });
+        expect(results.length).toEqual(1);
+      }
+      {
+        const results = await connection.searchTx({ sentFromOrTo: recipient, minHeight: height });
+        expect(results.length).toEqual(1);
+      }
+      {
+        const results = await connection.searchTx({ sentFromOrTo: recipient, minHeight: height - 2 });
+        expect(results.length).toEqual(1);
+      }
+      {
+        const results = await connection.searchTx({ sentFromOrTo: recipient, maxHeight: height });
+        expect(results.length).toEqual(1);
+      }
+      {
+        const results = await connection.searchTx({ sentFromOrTo: recipient, maxHeight: height + 2 });
+        expect(results.length).toEqual(1);
+      }
+      {
+        const results = await connection.searchTx({ sentFromOrTo: recipient, minHeight: height + 1 });
+        expect(results.length).toEqual(0);
+      }
+      {
+        const results = await connection.searchTx({ sentFromOrTo: recipient, maxHeight: height - 1 });
+        expect(results.length).toEqual(0);
+      }
+      {
+        const results = await connection.searchTx({
+          sentFromOrTo: recipient,
+          minHeight: height,
+          maxHeight: height,
+        });
+        expect(results.length).toEqual(1);
+      }
+      {
+        const results = await connection.searchTx({ sentFromOrTo: recipient, minHeight: height + 1 });
+        expect(results.length).toEqual(0);
+      }
+      {
+        const results = await connection.searchTx({ sentFromOrTo: recipient, maxHeight: height - 1 });
+        expect(results.length).toEqual(0);
+      }
+      {
+        const results = await connection.searchTx({
+          sentFromOrTo: recipient,
+          minHeight: height + 1,
+          maxHeight: Number.MAX_SAFE_INTEGER,
+        });
+        expect(results.length).toEqual(0);
+      }
+      {
+        const results = await connection.searchTx({
+          sentFromOrTo: recipient,
+          minHeight: 0,
+          maxHeight: height - 1,
+        });
+        expect(results.length).toEqual(0);
+      }
+
+      // search by height
+      {
+        const results = await connection.searchTx({ height: height });
+        expect(results.length).toEqual(1);
+      }
+      {
+        const results = await connection.searchTx({ height: height, minHeight: height });
+        expect(results.length).toEqual(1);
+      }
+      {
+        const results = await connection.searchTx({ height: height, minHeight: height - 2 });
+        expect(results.length).toEqual(1);
+      }
+      {
+        const results = await connection.searchTx({ height: height, maxHeight: height });
+        expect(results.length).toEqual(1);
+      }
+      {
+        const results = await connection.searchTx({ height: height, maxHeight: height + 2 });
+        expect(results.length).toEqual(1);
+      }
+      {
+        const results = await connection.searchTx({ height: height, minHeight: height + 1 });
+        expect(results.length).toEqual(0);
+      }
+      {
+        const results = await connection.searchTx({ height: height, maxHeight: height - 1 });
+        expect(results.length).toEqual(0);
+      }
+      {
+        const results = await connection.searchTx({
+          height: height,
+          minHeight: height,
+          maxHeight: height,
+        });
+        expect(results.length).toEqual(1);
+      }
+      {
+        const results = await connection.searchTx({ height: height, minHeight: height + 1 });
+        expect(results.length).toEqual(0);
+      }
+      {
+        const results = await connection.searchTx({ height: height, maxHeight: height - 1 });
+        expect(results.length).toEqual(0);
+      }
+      {
+        const results = await connection.searchTx({
+          height: height,
+          minHeight: height + 1,
+          maxHeight: Number.MAX_SAFE_INTEGER,
+        });
+        expect(results.length).toEqual(0);
+      }
+      {
+        const results = await connection.searchTx({
+          height: height,
+          minHeight: 0,
+          maxHeight: height - 1,
+        });
+        expect(results.length).toEqual(0);
+      }
+
+      connection.disconnect();
+    });
+  });
+
+  describe("integration tests", () => {
     it("can send ERC20 tokens", async () => {
       pendingWithoutWasmd();
       const connection = await CosmWasmConnection.establish(httpUrl, defaultPrefix, defaultConfig);
diff --git a/packages/bcp/src/cosmwasmconnection.ts b/packages/bcp/src/cosmwasmconnection.ts
index db8e0a67..d27d102c 100644
--- a/packages/bcp/src/cosmwasmconnection.ts
+++ b/packages/bcp/src/cosmwasmconnection.ts
@@ -304,8 +304,8 @@ export class CosmWasmConnection implements BlockchainConnection {
   public async searchTx({
     height,
     id,
-    maxHeight,
-    minHeight,
+    maxHeight: maxHeightOptional,
+    minHeight: minHeightOptional,
     sentFromOrTo,
     signedBy,
     tags,
@@ -314,30 +314,38 @@ export class CosmWasmConnection implements BlockchainConnection {
       throw new Error("Transaction query by signedBy or tags not yet supported");
     }
 
-    if ([maxHeight, minHeight].some(isDefined)) {
-      throw new Error(
-        "Transaction query by minHeight/maxHeight not yet supported. This is due to missing flexibility of the Gaia REST API, see https://github.com/cosmos/gaia/issues/75",
-      );
-    }
-
     if ([id, height, sentFromOrTo].filter(isDefined).length !== 1) {
       throw new Error(
         "Transaction query by id, height and sentFromOrTo is mutually exclusive. Exactly one must be set.",
       );
     }
 
+    const minHeight = minHeightOptional || 0;
+    const maxHeight = maxHeightOptional || Number.MAX_SAFE_INTEGER;
+
+    if (maxHeight < minHeight) return []; // optional optimization
+
     let txs: readonly TxsResponse[];
     if (id) {
       txs = await this.cosmWasmClient.searchTx({ id: id });
     } else if (height) {
+      if (height < minHeight) return []; // optional optimization
+      if (height > maxHeight) return []; // optional optimization
       txs = await this.cosmWasmClient.searchTx({ height: height });
     } else if (sentFromOrTo) {
+      // TODO: pass minHeight/maxHeight to server once we have
+      // https://github.com/cosmwasm/wasmd/issues/73
       txs = await this.cosmWasmClient.searchTx({ sentFromOrTo: sentFromOrTo });
     } else {
       throw new Error("Unsupported query");
     }
 
-    return txs.map(tx => this.parseAndPopulateTxResponseUnsigned(tx));
+    const filtered = txs.filter(tx => {
+      const txHeight = parseInt(tx.height, 10);
+      return txHeight >= minHeight && txHeight <= maxHeight;
+    });
+
+    return filtered.map(tx => this.parseAndPopulateTxResponseUnsigned(tx));
   }
 
   public listenTx(
diff --git a/packages/bcp/types/cosmwasmconnection.d.ts b/packages/bcp/types/cosmwasmconnection.d.ts
index 1f4ca33e..a141324d 100644
--- a/packages/bcp/types/cosmwasmconnection.d.ts
+++ b/packages/bcp/types/cosmwasmconnection.d.ts
@@ -74,8 +74,8 @@ export declare class CosmWasmConnection implements BlockchainConnection {
   searchTx({
     height,
     id,
-    maxHeight,
-    minHeight,
+    maxHeight: maxHeightOptional,
+    minHeight: minHeightOptional,
     sentFromOrTo,
     signedBy,
     tags,