diff --git a/src/dstack/_internal/core/services/ssh/tunnel.py b/src/dstack/_internal/core/services/ssh/tunnel.py
index e4f7f276e..5fc75ccfc 100644
--- a/src/dstack/_internal/core/services/ssh/tunnel.py
+++ b/src/dstack/_internal/core/services/ssh/tunnel.py
@@ -70,6 +70,7 @@ def __init__(
         ssh_config_path: Union[PathLike, Literal["none"]] = "none",
         port: Optional[int] = None,
         ssh_proxies: Iterable[tuple[SSHConnectionParams, Optional[FilePathOrContent]]] = (),
+        batch_mode: bool = False,
     ):
         """
         :param forwarded_sockets: Connections to the specified local sockets will be
@@ -79,11 +80,22 @@ def __init__(
         :param ssh_proxies: pairs of SSH connections params and optional identities,
             in order from outer to inner. If an identity is `None`, the `identity` param
             is used instead.
+        :param batch_mode: If enabled, "user interaction such as password prompts and host key
+            confirmation requests will be disabled", see `ssh_config(5)`, `BatchMode`.
+            Although this is probably the desired behavior in all use cases, the default value
+            is `False` for gradual adoption.
+            Note, this option is only applied to the `destination` and `ssh_proxies`. If you
+            configured `destination` with `ProxyJump` in the `ssh_config_path` config, the proxy
+            jump connection will ignore this option -- in that case, you should replace `ProxyJump`
+            with explicit `ProxyCommand=ssh [...] -o BatchMode=yes` in your config.
         """
         self.destination = destination
         self.forwarded_sockets = list(forwarded_sockets)
         self.reverse_forwarded_sockets = list(reverse_forwarded_sockets)
         self.options = options
+        # A copy of options with names normalized to lowercase. Used only internally, the actual
+        # ssh command is built from user-provided options as is.
+        self.options_normalized = {k.lower(): v for k, v in options.items()}
         self.port = port
         self.ssh_config_path = normalize_path(ssh_config_path)
         temp_dir = tempfile.TemporaryDirectory()
@@ -101,6 +113,7 @@ def __init__(
                     proxy_identity, f"proxy_identity_{proxy_index}"
                 )
             self.ssh_proxies.append((proxy_params, proxy_identity_path))
+        self.batch_mode = batch_mode
         self.log_path = normalize_path(os.path.join(temp_dir.name, "tunnel.log"))
         self.ssh_client_info = get_ssh_client_info()
         self.ssh_exec_path = str(self.ssh_client_info.path)
@@ -145,6 +158,14 @@ def open_command(self) -> List[str]:
             command += ["-p", str(self.port)]
         for k, v in self.options.items():
             command += ["-o", f"{k}={v}"]
+        if self.batch_mode:
+            command += ["-o", "BatchMode=yes"]
+            if "serveraliveinterval" not in self.options_normalized:
+                # Revert Debian-specific patch effect:
+                # > The default is 0, indicating that these messages will not be sent
+                # > to the server, or 300 if the BatchMode option is set (Debian-specific).
+                # https://salsa.debian.org/ssh-team/openssh/-/blob/d87b69641b533b892b87e2eea02dbee796682d64/debian/patches/keepalive-extensions.patch#L69-77
+                command += ["-o", "ServerAliveInterval=0"]
         if proxy_command := self._get_proxy_command():
             command += ["-o", proxy_command]
         for socket_pair in self.forwarded_sockets:
@@ -290,6 +311,14 @@ def _build_proxy_command(
             "-o",
             "UserKnownHostsFile=/dev/null",
         ]
+        if self.batch_mode:
+            # ServerAliveInterval is explained in the open_command() comment
+            command += [
+                "-o",
+                "BatchMode=yes",
+                "-o",
+                "ServerAliveInterval=0",
+            ]
         if prev_proxy_command is not None:
             command += ["-o", prev_proxy_command.replace("%", "%%")]
         command += [
diff --git a/src/dstack/_internal/server/services/runner/ssh.py b/src/dstack/_internal/server/services/runner/ssh.py
index 669ea2181..a4ef98686 100644
--- a/src/dstack/_internal/server/services/runner/ssh.py
+++ b/src/dstack/_internal/server/services/runner/ssh.py
@@ -96,6 +96,7 @@ def wrapper(
                         forwarded_sockets=ports_to_forwarded_sockets(tunnel_ports_map),
                         identity=identity,
                         ssh_proxies=ssh_proxies,
+                        batch_mode=True,
                     ):
                         return func(runner_ports_map, *args, **kwargs)
                 except SSHError: