don't know if anybody can help, but any suggestions welcomed...

i have a script that runs minutly using cron, the thing is if there is nothing in the log file to action, then plesk send me a message telling me that there was ntohing in the file.

is there some way i can turn this off?

Remove it from cron

You can modify the script to check for content in the log file and have it stop if there is nothing there.