diff --git a/client/driver/docker.go b/client/driver/docker.go
index 1708c692116..349ae2f085f 100644
--- a/client/driver/docker.go
+++ b/client/driver/docker.go
@@ -250,6 +250,7 @@ func (d *DockerDriver) createContainer(ctx *ExecContext, task *structs.Task) (do
 	}
 
 	return docker.CreateContainerOptions{
+		Name:       fmt.Sprintf("%s-%s", task.Name, ctx.AllocID),
 		Config:     config,
 		HostConfig: hostConfig,
 	}, nil