Musical partner and collaborator Jay-Z also has five while the rapper’s wife Beyonce is up for six.
Jay-Z and Kanye West collaborator last year on Watch the Throne and are on tour in the UK together at the moment.
Their songs In Paris and Otis are up for video of the year with Beyonce up for two awards in that category for Love on Top and Countdown.
The fifth nominee is Usher’s Climax.
The BET nominations were announced in New York.
Samuel L. Jackson will host the award show on 1 July, which will be held at the Shrine Auditorium in Los Angeles.
Chris Brown and Nicki Minaj are due to perform.
Other nominees include Lil Wayne, Drake and J. Cole.
Last year’s big winner, Chris Brown, is up for three awards this year after picking up four trophies in 2011.
The group Maze featuring Frankie Beverly will receive a lifetime achievement award.
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