diff --git a/modules/light-clients/07-tendermint/types/misbehaviour.go b/modules/light-clients/07-tendermint/types/misbehaviour.go
index b14593e1635..9a5ef74c948 100644
--- a/modules/light-clients/07-tendermint/types/misbehaviour.go
+++ b/modules/light-clients/07-tendermint/types/misbehaviour.go
@@ -14,6 +14,9 @@ import (
 
 var _ exported.Misbehaviour = &Misbehaviour{}
 
+// Use the same FrozenHeight for all misbehaviour
+var FrozenHeight = clienttypes.NewHeight(0, 1)
+
 // NewMisbehaviour creates a new Misbehaviour instance.
 func NewMisbehaviour(clientID string, header1, header2 *Header) *Misbehaviour {
 	return &Misbehaviour{
diff --git a/modules/light-clients/07-tendermint/types/misbehaviour_handle.go b/modules/light-clients/07-tendermint/types/misbehaviour_handle.go
index dd347f2aa4b..f86ca12a093 100644
--- a/modules/light-clients/07-tendermint/types/misbehaviour_handle.go
+++ b/modules/light-clients/07-tendermint/types/misbehaviour_handle.go
@@ -89,7 +89,7 @@ func (cs ClientState) CheckMisbehaviourAndUpdateState(
 		return nil, sdkerrors.Wrap(err, "verifying Header2 in Misbehaviour failed")
 	}
 
-	cs.FrozenHeight = clienttypes.NewHeight(0, 1)
+	cs.FrozenHeight = FrozenHeight
 
 	return &cs, nil
 }
diff --git a/modules/light-clients/07-tendermint/types/update.go b/modules/light-clients/07-tendermint/types/update.go
index d637cae04a1..6333a9998d6 100644
--- a/modules/light-clients/07-tendermint/types/update.go
+++ b/modules/light-clients/07-tendermint/types/update.go
@@ -91,7 +91,7 @@ func (cs ClientState) CheckHeaderAndUpdateState(
 	consState := tmHeader.ConsensusState()
 	// Header is different from existing consensus state and also valid, so freeze the client and return
 	if conflictingHeader {
-		cs.FrozenHeight = clienttypes.NewHeight(0, 1)
+		cs.FrozenHeight = FrozenHeight
 		return &cs, consState, nil
 	}
 	// Check that consensus state timestamps are monotonic
@@ -100,13 +100,13 @@ func (cs ClientState) CheckHeaderAndUpdateState(
 	// if previous consensus state exists, check consensus state time is greater than previous consensus state time
 	// if previous consensus state is not before current consensus state, freeze the client and return.
 	if prevOk && !prevCons.Timestamp.Before(consState.Timestamp) {
-		cs.FrozenHeight = clienttypes.NewHeight(0, 1)
+		cs.FrozenHeight = FrozenHeight
 		return &cs, consState, nil
 	}
 	// if next consensus state exists, check consensus state time is less than next consensus state time
 	// if next consensus state is not after current consensus state, freeze the client and return.
 	if nextOk && !nextCons.Timestamp.After(consState.Timestamp) {
-		cs.FrozenHeight = clienttypes.NewHeight(0, 1)
+		cs.FrozenHeight = FrozenHeight
 		return &cs, consState, nil
 	}