diff --git a/types/invariant.go b/types/invariant.go
index 01209d1784..3a87904adc 100644
--- a/types/invariant.go
+++ b/types/invariant.go
@@ -9,7 +9,7 @@ type Invariant func(ctx Context) error
 // Invariants defines a group of invariants
 type Invariants []Invariant
 
-// expected interface for routing invariants
-type InvariantRouter interface {
+// expected interface for registering invariants
+type InvariantRegistry interface {
 	RegisterRoute(moduleName, route string, invar Invariant)
 }
diff --git a/types/module/module.go b/types/module/module.go
index 162c0c6ec2..ca2f0ed3ff 100644
--- a/types/module/module.go
+++ b/types/module/module.go
@@ -131,7 +131,7 @@ type AppModule interface {
 	AppModuleGenesis
 
 	// registers
-	RegisterInvariants(sdk.InvariantRouter)
+	RegisterInvariants(sdk.InvariantRegistry)
 
 	// routes
 	Route() string
@@ -157,7 +157,7 @@ func NewGenesisOnlyAppModule(amg AppModuleGenesis) AppModule {
 }
 
 // register invariants
-func (GenesisOnlyAppModule) RegisterInvariants(_ sdk.InvariantRouter) {}
+func (GenesisOnlyAppModule) RegisterInvariants(_ sdk.InvariantRegistry) {}
 
 // module message route ngame
 func (GenesisOnlyAppModule) Route() string { return "" }
@@ -232,9 +232,9 @@ func (m *Manager) SetOrderEndBlockers(moduleNames ...string) {
 }
 
 // register all module routes and module querier routes
-func (m *Manager) RegisterInvariants(invarRouter sdk.InvariantRouter) {
+func (m *Manager) RegisterInvariants(ir sdk.InvariantRegistry) {
 	for _, module := range m.Modules {
-		module.RegisterInvariants(invarRouter)
+		module.RegisterInvariants(ir)
 	}
 }
 
diff --git a/x/auth/module.go b/x/auth/module.go
index e406499e21..e9bdf61d72 100644
--- a/x/auth/module.go
+++ b/x/auth/module.go
@@ -88,7 +88,7 @@ func (AppModule) Name() string {
 }
 
 // register invariants
-func (AppModule) RegisterInvariants(_ sdk.InvariantRouter) {}
+func (AppModule) RegisterInvariants(_ sdk.InvariantRegistry) {}
 
 // module message route name
 func (AppModule) Route() string { return "" }
diff --git a/x/bank/invariants.go b/x/bank/invariants.go
index bd1528aa6e..c183c9ebb4 100644
--- a/x/bank/invariants.go
+++ b/x/bank/invariants.go
@@ -10,7 +10,7 @@ import (
 )
 
 // register bank invariants
-func RegisterInvariants(ir sdk.InvariantRouter, ak auth.AccountKeeper) {
+func RegisterInvariants(ir sdk.InvariantRegistry, ak auth.AccountKeeper) {
 	ir.RegisterRoute(types.ModuleName, "nonnegative-outstanding",
 		NonnegativeBalanceInvariant(ak))
 }
diff --git a/x/bank/module.go b/x/bank/module.go
index 3e63d415e5..2499c2e9ab 100644
--- a/x/bank/module.go
+++ b/x/bank/module.go
@@ -89,7 +89,7 @@ func (AppModule) Name() string {
 }
 
 // register invariants
-func (am AppModule) RegisterInvariants(ir sdk.InvariantRouter) {
+func (am AppModule) RegisterInvariants(ir sdk.InvariantRegistry) {
 	RegisterInvariants(ir, am.accountKeeper)
 }
 
diff --git a/x/crisis/module.go b/x/crisis/module.go
index 1ccf0feba7..c3dd7a41f5 100644
--- a/x/crisis/module.go
+++ b/x/crisis/module.go
@@ -81,7 +81,7 @@ func (AppModule) Name() string {
 }
 
 // register invariants
-func (AppModule) RegisterInvariants(_ sdk.InvariantRouter) {}
+func (AppModule) RegisterInvariants(_ sdk.InvariantRegistry) {}
 
 // module querier route name
 func (AppModule) Route() string {
diff --git a/x/distribution/keeper/invariants.go b/x/distribution/keeper/invariants.go
index 0814c876b8..568db2848e 100644
--- a/x/distribution/keeper/invariants.go
+++ b/x/distribution/keeper/invariants.go
@@ -9,7 +9,7 @@ import (
 )
 
 // register all distribution invariants
-func RegisterInvariants(ir sdk.InvariantRouter, k Keeper) {
+func RegisterInvariants(ir sdk.InvariantRegistry, k Keeper) {
 	ir.RegisterRoute(types.ModuleName, "nonnegative-outstanding",
 		NonNegativeOutstandingInvariant(k))
 	ir.RegisterRoute(types.ModuleName, "can-withdraw",
diff --git a/x/distribution/module.go b/x/distribution/module.go
index 392e7f90a5..a915c49b89 100644
--- a/x/distribution/module.go
+++ b/x/distribution/module.go
@@ -84,7 +84,7 @@ func (AppModule) Name() string {
 }
 
 // register invariants
-func (am AppModule) RegisterInvariants(ir sdk.InvariantRouter) {
+func (am AppModule) RegisterInvariants(ir sdk.InvariantRegistry) {
 	RegisterInvariants(ir, am.keeper)
 }
 
diff --git a/x/gov/module.go b/x/gov/module.go
index ab4ba9ba32..73db7cdeb2 100644
--- a/x/gov/module.go
+++ b/x/gov/module.go
@@ -109,7 +109,7 @@ func (AppModule) Name() string {
 }
 
 // register invariants
-func (AppModule) RegisterInvariants(_ sdk.InvariantRouter) {}
+func (AppModule) RegisterInvariants(_ sdk.InvariantRegistry) {}
 
 // module message route name
 func (AppModule) Route() string {
diff --git a/x/mint/module.go b/x/mint/module.go
index fcea355c18..41a47ac41c 100644
--- a/x/mint/module.go
+++ b/x/mint/module.go
@@ -83,7 +83,7 @@ func (AppModule) Name() string {
 }
 
 // register invariants
-func (am AppModule) RegisterInvariants(_ sdk.InvariantRouter) {}
+func (am AppModule) RegisterInvariants(_ sdk.InvariantRegistry) {}
 
 // module message route name
 func (AppModule) Route() string { return "" }
diff --git a/x/slashing/module.go b/x/slashing/module.go
index 873a750e6f..c8771c1609 100644
--- a/x/slashing/module.go
+++ b/x/slashing/module.go
@@ -90,7 +90,7 @@ func (AppModule) Name() string {
 }
 
 // register invariants
-func (am AppModule) RegisterInvariants(_ sdk.InvariantRouter) {}
+func (am AppModule) RegisterInvariants(_ sdk.InvariantRegistry) {}
 
 // module message route name
 func (AppModule) Route() string {
diff --git a/x/staking/keeper/invariants.go b/x/staking/keeper/invariants.go
index a572d9197b..df4c69216b 100644
--- a/x/staking/keeper/invariants.go
+++ b/x/staking/keeper/invariants.go
@@ -11,7 +11,7 @@ import (
 )
 
 // register all staking invariants
-func RegisterInvariants(ir sdk.InvariantRouter, k Keeper, f types.FeeCollectionKeeper,
+func RegisterInvariants(ir sdk.InvariantRegistry, k Keeper, f types.FeeCollectionKeeper,
 	d types.DistributionKeeper, am types.AccountKeeper) {
 
 	ir.RegisterRoute(types.ModuleName, "supply",
diff --git a/x/staking/module.go b/x/staking/module.go
index a624b55318..527c50ed16 100644
--- a/x/staking/module.go
+++ b/x/staking/module.go
@@ -120,7 +120,7 @@ func (AppModule) Name() string {
 }
 
 // register invariants
-func (am AppModule) RegisterInvariants(ir sdk.InvariantRouter) {
+func (am AppModule) RegisterInvariants(ir sdk.InvariantRegistry) {
 	RegisterInvariants(ir, am.keeper, am.fcKeeper, am.distrKeeper, am.accKeeper)
 }