Eighteen of last year's 32 picks were traded before or during the draft, including four that were traded twice and one that was traded three times.
The NFL officially announced compensatory picks on Friday, and the Giants get the extra fourth-rounder because defensive tackle Johnathan Hankins signed with the Indianapolis Colts during free agency past year.
Compensatory picks are awarded based on a specific formula weighing free agents gained the previous offseason with players that left.
National Football League rules allow for teams that lose more or better compensatory free agents than they acquire in the previous year are eligible to receive compensatory draft picks. They traded their seventh-round selection to Pittsburgh for cornerback Ross Cockrell last September 3.
Prior to Friday, the Tampa Bay Buccaneers owned seven picks in the 2018 NFL Draft, but no actual seventh-round selection.
The Giants also qualified for a second compensatory pick, but because of the limit of 32, those who fell on the outside weren't awarded the additional picks.
The Baltimore Ravens, who lead the National Football League with 49 compensatory picks received since 1994, garnered just one pick, a sixth-rounder. Denver's third-round compensatory pick was the only one they received. Arizona received the highest compensatory pick at No. 97 overall. They added TE Rhett Ellison and QB Geno Smith. The Cincinnati Bengals, Green Bay Packers and Dallas Cowboys all were awarded four.