Sal Alosi, the Jets' strength and conditioning coach, will begin serving his suspension immediately and have no access to the team's practice facility.
General manager Mike Tannenbaum said Monday night that Alosi will also not be allowed to interact with any players or coaches "as it pertains to his job function."
Tannenbaum said the team spoke with the NFL about the incident throughout the day, and the league will issue no further discipline.
"Hopefully we're going to learn from what happened yesterday and take full responsibility for it," Tannenbaum said. "We're really disappointed with Sal, with what happened, and we're going to hold him accountable for his actions."
Alosi said in a statement that he respected the team's decision.
Both the league and the team spent the day reviewing the incident in which Alosi stuck his left knee out on the sideline and tripped Dolphins cornerback Nolan Carroll, who was covering a punt in the third quarter of Miami's 10-6 win Sunday.
"I let everybody down yesterday with my actions," said Alosi, fighting back tears during a news conference earlier Monday. "My actions were inexcusable and irresponsible."
Carroll, a rookie, fell to the turf and lay there for several minutes before walking off.
"That's a thing that has no business in this league," coach Rex Ryan said, "or anywhere else."
Alosi will be replaced for the rest of the season by his assistant, Brian Dermody.
Alosi said he apologized by phone to both Carroll and Dolphins coach Tony Sparano on Sunday, and spoke to Ryan, Tannenbaum and Jets owner Woody Johnson about the situation.
Ryan issued a public apology to Carroll and the Dolphins at his daily news conference.
"I was stunned that something like this actually took place," Ryan said.
Ryan said he admired the fact Alosi never denied what he did, and "that he stood up and he took responsibility."
"I know I'll get killed for it," Ryan said. "There's no place for it in football, without question, but he made a mistake and he admitted it."
Alosi was first with the Jets from 2001-05, then worked for the Falcons for one season before he was hired by then-New York coach Eric Mangini in 2007 to be the head strength and conditioning coach.
Now with the Cleveland Browns, Mangini described Alosi as "a good person."
"He made a dumb mistake," Mangini said. "If he could take it back, I'm sure he would. It's disappointing it happened. I'm sorry for the whole situation."
Alosi was a linebacker for Hofstra from 1996-2000, and even earned an award for sportsmanship and fair play both on and off the field during his college career.
"You're asking me to give you a logical explanation to an illogical act," he said. "I can't do that. I can't explain that."
Carroll, who returned in the fourth quarter, twice broke his right leg while playing: once ending his senior season in high school and again in his senior season at Maryland.
"I'm extremely thankful that my actions yesterday didn't result in any significant injury to Nolan or any other players," Alosi said.