To replace Weatherford, New York traded a late-round draft pick for Pittsburgh Steelers punter Brad Wing.
The news comes just three days after head coach Tom Coughlin hinted that Weatherford had not been performing at his best this preseason.
“Well, [Weatherford's] been off and on,” Coughlin told the New York Post on Tuesday. “He’s had some good ones and he’s had some that aren’t so good.”
This preseason, Weatherford, 32, totaled 16 punts for an average of 45 yards.
Weatherford, who had played for the Giants for three seasons, helped New York win Super Bowl XLVI in 2011. He previously played for the New York Jets, Jacksonville Jaguars, Kansas City Chiefs and New Orleans Saints.
Wing, 24, played his first NFL season with the Steelers last year. The punter from Melbourne, Australia, totaled 61 punts for an average of 43.7 yards.
- Kayla Lombardo