"I've watched cricket," Alexander told host Craig Ferguson on CBS' The Late Late Show. "It's a gay game."
The actor continued, later pantomining an overly exaggerated throwing motion while declaring it a "queer British gay pitch."
On Sunday, in a lengthy post on his Twitter account, Alexander backtracked on his comments and attempted to explain his actions.
"For [gay] people, my building a joke upon the premise I did added to the pejorative stereotype that they are forced to deal with everyday," he wrote. "It is at the very heart of this whole ugly world of bullying that has been getting rightful and overdue attention in the media. And with my well-intentioned comedy bit, I played right into those hurtful assumptions and diminishments.
"And the worst part is –- I should know better."
Check out the video of Alexander's original segment with Ferguson in the player below.
