New England announced the move on Thursday. The Patriots also signed linebacker Trevor Reilly, released safety Alex Carter from the practice squad and placed offensive lineman Cole Toner on the practice squad injured reserve list in corresponding transactions.
Tye, 25, entered the NFL as a rookie free agent in 2015 with the Giants. The Stony Brook product began his rookie campaign on the Giants' practice squad before being signed to the team's 53-man active roster. He had 859 yards and four touchdowns on 90 receptions during his two seasons with the franchise. The 6 foot 2, 256 pound pass catcher started 17 times and played in 29 games with the Giants. He was released on Sept. 2 and claimed the next day by the New York Jets.
Tye had four catches for 38 yards for the Jets before getting cut on Oct. 3.
Carter, 22, was a third round pick by the Detroit Lions in the 2015 NFL Draft. He missed his rookie season due to injury and began last season on the Lions' practice squad before getting added to the team's active roster on Dec. 24. Carter appeared in one game for the Lions. He was released this year after Lions training camp.
Reilly, 29, entered the league as a seventh round pick by the Jets in the 2014 NFL Draft. He has 11 tackles, 22 special teams tackles, a sack and a forced fumble in 31 career appearances. He was cut by the Jets before last season and signed with the Patriots' practice squad in December.