Sutil drove his VJM06 car to best lap time of 1 min 15.383 secs to finish eighth in the final qualifying session.
The top-10 grid position gives the German driver a chance to earn some points for the team at Circuit de Monaco.
Di Resta was unlucky because of an apparent team error as the Scot found himself on the wrong tyres, and was the first driver to fail to make it through to Q2.