Trump spoke to reporters with West by his side, calling the rapper a "good man" and telling journalists that they have been "friends for a long time."
West would not discuss the details of the meeting. He ignored questions about whether he plans on performing at Trump's inauguration. He also ignored a question about whether he wishes he had voted for Trump.
"I just want to take a picture right now," West said, smiling.
"You take care of yourself, I'll see you soon," Trump told West.
West, who has mentioned Trump in his lyrics, asked for a 15-minute meeting with Trump, transition spokeswoman Hope Hicks confirmed.
This is yet another sign that the hip-hop mogul and rapper, who declared a 2020 presidential bid at the VMA's last year, is open to working with the President-elect.
Kanye was accompanied by an entourage that included a videographer.