"First time kneeling, out for game. Second time kneeling, out for season/no pay!" Trump said.
Goodell has been NFL Commissioner since 2006.
Goodell's new contract could be worth up to a reported $200 million.
The league plans to donate $89 million to social justice causes, but Eric Reid has called it a "charade."
“We need to move past this controversy, and we want to do that together with our players,” the NFL Commissioner wrote.
The Chiefs beat the Redskins on Monday night.