The choice of Sash came a little more than 10 minutes after New York (10-6) took Michigan State inside linebacker Greg Jones.
Sash has a nose for the ball. He had 13 interceptions in just three years on the field, although only two came this past season. He could fit right into the rotation since veteran Deon Grant is a free agent and may not be back.
Sash also had 79 tackles this past season.
The Giants addressed a need on the offensive line earlier Saturday taking Indiana tackle James Brewer in the fourth round.
New York drafted Nebraska cornerback Prince Amukamara in the first round on Thursday, and took North Carolina defensive tackle Marvin Austin in the second round and Troy receiver Jerrel Jernigan in the third on Friday.
They did not have a pick in the fifth round Saturday.