Giants draft picks 2020: All of New York’s selections, full NFL Draft results, team order Share this: With the fourth overall pick in the 2020 NFL Draft, the New York Giants snatched up Georgia offensive tackle Andrew Thomas. The Giants were looking to protect young QB Daniel Jones, making Thomas the perfect fit as one of the cleanest tackles in the draft. The continued pounding the offensive line, adding Matt Peart later in the draft. The Giants added incredible defensive talent Xavier McKinney with the No. 36 pick.