Inserting user inputted data with apostrophe's.

I'm trying to make a form where users can submit bugs that are then inserted into a MySQL database.
The problem is that anytime someone try's to use an apostrophe it will break the SQL statement inside the PHP and they recieve a SQL syntax error for the apostrophe and everything past it.
IE
User is saying:
I've attempted.
They will get You have an error in your SQL syntax.....
Check the right syntax to use near 've attempted at line 3.