diff --git a/x/group/keeper/invariants.go b/x/group/keeper/invariants.go
index 78572afa1912..139991e00dfa 100644
--- a/x/group/keeper/invariants.go
+++ b/x/group/keeper/invariants.go
@@ -85,7 +85,7 @@ func GroupTotalWeightInvariantHelper(ctx sdk.Context, key storetypes.StoreKey, g
 			}
 		}
 
-		groupWeight, err := groupmath.NewPositiveDecFromString(groupInfo.GetTotalWeight())
+		groupWeight, err := groupmath.NewNonNegativeDecFromString(groupInfo.GetTotalWeight())
 		if err != nil {
 			msg += fmt.Sprintf("error while parsing non-nengative decimal for group with ID %d\n%v\n", groupInfo.Id, err)
 			return msg, broken
diff --git a/x/group/keeper/keeper_test.go b/x/group/keeper/keeper_test.go
index 59cb7e4c2f16..f5ef2c74fa68 100644
--- a/x/group/keeper/keeper_test.go
+++ b/x/group/keeper/keeper_test.go
@@ -2753,7 +2753,7 @@ func (s *TestSuite) TestLeaveGroup() {
 			math.NewDecFromInt64(0),
 		},
 		{
-			"valid testcase: decision policy is not present",
+			"valid testcase: decision policy is not present (and group total weight can be 0)",
 			&group.MsgLeaveGroup{
 				GroupId: groupID2,
 				Address: member1.String(),
diff --git a/x/group/keeper/msg_server.go b/x/group/keeper/msg_server.go
index 17fa669b79b6..60312a4d5d53 100644
--- a/x/group/keeper/msg_server.go
+++ b/x/group/keeper/msg_server.go
@@ -97,9 +97,9 @@ func (k Keeper) CreateGroup(goCtx context.Context, req *group.MsgCreateGroup) (*
 func (k Keeper) UpdateGroupMembers(goCtx context.Context, req *group.MsgUpdateGroupMembers) (*group.MsgUpdateGroupMembersResponse, error) {
 	ctx := sdk.UnwrapSDKContext(goCtx)
 	action := func(g *group.GroupInfo) error {
-		totalWeight, err := math.NewPositiveDecFromString(g.TotalWeight)
+		totalWeight, err := math.NewNonNegativeDecFromString(g.TotalWeight)
 		if err != nil {
-			return err
+			return sdkerrors.Wrap(err, "group total weight")
 		}
 		for i := range req.MemberUpdates {
 			if err := k.assertMetadataLength(req.MemberUpdates[i].Metadata, "group member metadata"); err != nil {
@@ -800,7 +800,7 @@ func (k Keeper) LeaveGroup(goCtx context.Context, req *group.MsgLeaveGroup) (*gr
 		return nil, sdkerrors.Wrap(err, "group")
 	}
 
-	groupWeight, err := math.NewPositiveDecFromString(groupInfo.TotalWeight)
+	groupWeight, err := math.NewNonNegativeDecFromString(groupInfo.TotalWeight)
 	if err != nil {
 		return nil, err
 	}