The high figure of the fine was based on Ryan being a repeat offender.
Ryan said during his Monday news conference that he did not plan to appeal the fine.
"(Commissioner Roger Goodell) made a decision, and his decision is that I should be fined $75,000, and that's the way it is," Ryan said. "I just want to get it behind me. Obviously it was a mistake I made, and I'm responsible for my actions."
NFL spokesman Greg Aiello said last week that the league was aware of the video, and Ryan apologized for letting his emotions get the best of him once again.
Ryan also said Monday that he spoke with Goodell about the incident.
"I wanted to apologize to him," Ryan said. "I never denied that I didn't make a mistake. I did make a mistake."
It's not the first time Ryan is in trouble because of his mouth. He was fined $50,000 by the Jets in February 2010 after he was caught on a cell phone camera giving the middle finger to a fan during a mixed martial arts event in Florida.
The Associated Press contributed to this report.