Up Late with Alec Baldwin is seen on MSNBC on TopTV in South Africa on Saturday mornings at 05:00.
In a statement on MSNBC's website Alec Baldwin says "I did not intend to hurt or offend anyone with my choice of words, but clearly I have – and for that I am deeply sorry."
"Words are important. I understand that, and will choose mine with great care going forward. What I said and did this week, as I was trying to protect my family, was offensive and unacceptable. Behavior like this undermines hard-fought rights that I vigorously support."
"I understand Up Late will be taken off the schedule for tonight and next week. I want to apologize to my loyal fans and to my colleagues at MSNBC – both for my actions and for distracting from their good work. Again, please accept my apology."
On Thursday tabloid website TMZ published a video showing the often combative Alec Baldwin hurling gay slurs at a paparazzi photographer who had been in a confrontation with Baldwin.
MSNBC says Up Late will return to the schedule on 29 November.