Actually although the answer of bmdhacks is almost good, there is a slight chance the second script to run after first checked the lockfile and before it wrote it. So they both will write the lock file and they will both be running. Here is how to make it work for sure:
lockfile=/var/lock/myscript.lock
if ( set -o noclobber; echo "$$" > "$lockfile") 2> /dev/null ; then
trap 'rm -f "$lockfile"; exit $?' INT TERM EXIT
else
# or you can decide to skip the "else" part if you want
echo "Another instance is already running!"
fi
The noclobber
option will make sure that redirect command will fail if file already exists. So the redirect command is actually atomic - you write and check the file with one command. You don't need to remove the lockfile at the end of file - it'll be removed by the trap. I hope this helps to people that will read it later.
P.S. I didn't see that Mikel already answered the question correctly, although he didn't include the trap command to reduce the chance the lock file will be left over after stopping the script with Ctrl-C for example. So this is the complete solution