Russian pop stars and celebrities also attended Saturday's bash at the Royal Tulip Hotel in the nation's former capital Almaty, RIA Novosti reported.
The 23-year-old groom is Nazarbayev's youngest grandson and a graduate of the British Army's Royal Military Academy at Sandhurst, the news agency said.
His bride is Alima Boranbayeva, a 20-year-old student at the Courtauld Institute in London and daughter of the chairman of a major Kazakhstan gas company.
TMZ said West was paid about $3 million to perform at the wedding, but the amount of Beyonce's paycheck was not immediately known.
Some U.S. celebrities such as Jennifer Lopez have been criticized by human-rights campaigners after they performed for Central Asian leaders.
British pop singer Sting canceled a show for Nazarbayev in 2011, citing human-rights concerns following suppression of a demonstration by striking oil workers, RIA Novosti noted.