Also attending is former National Football League great Jim Brown, a civil rights leader who has met with Trump previously.
The Republican president has advocated prison reform and said he was open to changes in sentencing guidelines, an issue that divides the Republican Party between "law and order" hardliners and moderates.
During a 10-minute monologue that ranged from prison reform to manufacturing, politics and the universe, West said: "They tried to scare me, my friends to not wear this hat, but this hat, it gives me power in a way".
United Nations climate report calls for immediate action to curb global warming
Another aspect would be the phase-out of coal and a reduction in the amount of natural gas used for power generation. The report calls for huge changes in land, energy, industry, buildings, transportation and cities.
Pogba says he doesn’t need armband to be leader
Paul Pogba says becoming captain of France is not one of his ambitions, saying he can be a leader on the pitch without an armband.
Fabinho speaks out after quiet start to Liverpool career
We won the European Championship that year and there's no better feeling than winning something with your country. Don't write Chelsea out but they need a real "goal-getter".
Stay tuned for more news on Kanye West's White House visit. "The idea that he is some ambassador to the African-American community or from the African-American community to President Trump is laughable".
"He's said very nice things about me in the past ... extremely positive things", Trump said.
West has received a lot of backlash from fans and his fellow celebrities for his support of the president including a recent slew of criticism from several members of "Saturday Night Live" who bashed West after going on a pro-Trump rant at the end of the show earlier this month. It would have been very unfair, I don't think really the heat was very hot. Asked if he would consider campaigning with the rapper, Trump said, "I could see it".
Trump spoke about the meeting during a Wednesday interview with Shannon Bream on Fox News.