How to suppress Terminated message after killing in bash?

The short answer is that you can't. Bash always prints the status of foreground jobs. The monitoring flag only applies for background jobs, and only for interactive shells, not scripts.

see notify_of_job_status() in jobs.c.

As you say, you can redirect so standard error is pointing to /dev/null but then you miss any other error messages. You can make it temporary by doing the redirection in a subshell which runs the script. This leaves the original environment alone.

(script 2> /dev/null)

which will lose all error messages, but just from that script, not from anything else run in that shell.

You can save and restore standard error, by redirecting a new filedescriptor to point there:

exec 3>&2          # 3 is now a copy of 2
exec 2> /dev/null  # 2 now points to /dev/null
script             # run script with redirected stderr
exec 2>&3          # restore stderr to saved
exec 3>&-          # close saved version

But I wouldn't recommend this -- the only upside from the first one is that it saves a sub-shell invocation, while being more complicated and, possibly even altering the behavior of the script, if the script alters file descriptors.

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EDIT:

For more appropriate answer check answer given by Mark Edgar

Solution: use SIGINT (works only in non-interactive shells)

Demo:

cat > silent.sh <<"EOF"
sleep 100 &
kill -INT $!
sleep 1
EOF

sh silent.sh

http://thread.gmane.org/gmane.comp.shells.bash.bugs/15798

In order to silence the message, you must be redirecting stderr at the time the message is generated. Because the kill command sends a signal and doesn't wait for the target process to respond, redirecting stderr of the kill command does you no good. The bash builtin wait was made specifically for this purpose.

Here is very simple example that kills the most recent background command. (Learn more about $! here.)

kill $!
wait $! 2>/dev/null

Because both kill and wait accept multiple pids, you can also do batch kills. Here is an example that kills all background processes (of the current process/script of course).

kill $(jobs -rp)
wait $(jobs -rp) 2>/dev/null

I was led here from bash: silently kill background function process.