diff --git a/CHANGELOG.md b/CHANGELOG.md
index 15f2b40350..21a519fcd5 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -26,6 +26,8 @@ and this project adheres to
 - @cosmjs/stargate: Add Amino JSON support for `MsgCreateVestingAccount`.
 - @cosmjs/stargate and @cosmjs/cosmwasm-stargate: Create and use
   BroadcastTxError ([#1096]).
+- @cosmjs/stargate: Add height parameter to `QueryClient.queryUnverified`
+  ([#1250]).
 - @cosmjs/faucet: Allow configuring the cooldown value via
   `FAUCET_COOLDOWN_TIME` environment variable.
 
@@ -35,6 +37,7 @@ and this project adheres to
 [#1176]: https://github.com/cosmos/cosmjs/pull/1176
 [#1224]: https://github.com/cosmos/cosmjs/pull/1224
 [#1225]: https://github.com/cosmos/cosmjs/issues/1225
+[#1250]: https://github.com/cosmos/cosmjs/issues/1250
 
 ### Fixed
 
diff --git a/packages/stargate/src/queryclient/queryclient.spec.ts b/packages/stargate/src/queryclient/queryclient.spec.ts
index 0f93b0b993..823fb13a8c 100644
--- a/packages/stargate/src/queryclient/queryclient.spec.ts
+++ b/packages/stargate/src/queryclient/queryclient.spec.ts
@@ -1,10 +1,27 @@
 /* eslint-disable @typescript-eslint/naming-convention */
+import { coin } from "@cosmjs/amino";
 import { toAscii } from "@cosmjs/encoding";
+import { DirectSecp256k1HdWallet } from "@cosmjs/proto-signing";
 import { Tendermint34Client } from "@cosmjs/tendermint-rpc";
+import { assert } from "@cosmjs/utils";
 import { Metadata } from "cosmjs-types/cosmos/bank/v1beta1/bank";
-import { QueryAllBalancesRequest, QueryAllBalancesResponse } from "cosmjs-types/cosmos/bank/v1beta1/query";
+import {
+  QueryAllBalancesRequest,
+  QueryAllBalancesResponse,
+  QueryBalanceRequest,
+  QueryBalanceResponse,
+} from "cosmjs-types/cosmos/bank/v1beta1/query";
 
-import { pendingWithoutSimapp, simapp, simapp44Enabled, unused } from "../testutils.spec";
+import { SigningStargateClient } from "../signingstargateclient";
+import {
+  defaultSigningClientOptions,
+  faucet,
+  makeRandomAddress,
+  pendingWithoutSimapp,
+  simapp,
+  simapp44Enabled,
+  unused,
+} from "../testutils.spec";
 import { QueryClient } from "./queryclient";
 
 async function makeClient(rpcUrl: string): Promise<[QueryClient, Tendermint34Client]> {
@@ -101,5 +118,52 @@ describe("QueryClient", () => {
 
       tmClient.disconnect();
     });
+
+    it("works for height", async () => {
+      pendingWithoutSimapp();
+      const [queryClient, tmClient] = await makeClient(simapp.tendermintUrlHttp);
+
+      const joe = makeRandomAddress();
+      const h1 = (await tmClient.status()).syncInfo.latestBlockHeight;
+
+      // Send tokens to `recipient`
+      const wallet = await DirectSecp256k1HdWallet.fromMnemonic(faucet.mnemonic);
+      const client = await SigningStargateClient.connectWithSigner(
+        simapp.tendermintUrlHttp,
+        wallet,
+        defaultSigningClientOptions,
+      );
+      const amount = coin(332211, simapp.denomFee);
+      await client.sendTokens(faucet.address0, joe, [amount], "auto");
+
+      const h2 = (await tmClient.status()).syncInfo.latestBlockHeight;
+      assert(h1 < h2);
+
+      // Query with no height
+      {
+        const requestData = QueryBalanceRequest.encode({ address: joe, denom: simapp.denomFee }).finish();
+        const data = await queryClient.queryUnverified(`/cosmos.bank.v1beta1.Query/Balance`, requestData);
+        const response = QueryBalanceResponse.decode(data);
+        expect(response.balance).toEqual(amount);
+      }
+
+      // Query at h2 (after send)
+      {
+        const requestData = QueryBalanceRequest.encode({ address: joe, denom: simapp.denomFee }).finish();
+        const data = await queryClient.queryUnverified(`/cosmos.bank.v1beta1.Query/Balance`, requestData, h2);
+        const response = QueryBalanceResponse.decode(data);
+        expect(response.balance).toEqual(amount);
+      }
+
+      // Query at h1 (before send)
+      {
+        const requestData = QueryBalanceRequest.encode({ address: joe, denom: simapp.denomFee }).finish();
+        const data = await queryClient.queryUnverified(`/cosmos.bank.v1beta1.Query/Balance`, requestData, h1);
+        const response = QueryBalanceResponse.decode(data);
+        expect(response.balance).toEqual({ amount: "0", denom: simapp.denomFee });
+      }
+
+      tmClient.disconnect();
+    });
   });
 });
diff --git a/packages/stargate/src/queryclient/queryclient.ts b/packages/stargate/src/queryclient/queryclient.ts
index 5965cfa677..eceec9929f 100644
--- a/packages/stargate/src/queryclient/queryclient.ts
+++ b/packages/stargate/src/queryclient/queryclient.ts
@@ -570,11 +570,16 @@ export class QueryClient {
     };
   }
 
-  public async queryUnverified(path: string, request: Uint8Array): Promise<Uint8Array> {
+  public async queryUnverified(
+    path: string,
+    request: Uint8Array,
+    desiredHeight?: number,
+  ): Promise<Uint8Array> {
     const response = await this.tmClient.abciQuery({
       path: path,
       data: request,
       prove: false,
+      height: desiredHeight,
     });
 
     if (response.code) {