Islamkhan came up through Taraz's youth academy and impressed from an early age. He made his first team debut on 6 March 2011 in the Kazakhstan Premier League match against Irtysh, at the age of 18, and since then was a member of the Taraz's first-team squad. Next season he became the captain of the club when he was just 19 years old. He also scored six goals during his stay in Taraz. In 2012 season in the Premier League, Islamkhan recorded 22 appearances and scored 4 goals.[1] Islamkhan has earned the Kazakhstan Football Federation's Young Player of the Year award as voted on by the coaches for his performances in his campaign for Taraz during the 2012 season.
Kuban Krasnodar
On his birthday in 2013, he signed a three-year deal with Kuban Krasnodar.[2][3] He made his debut on 25 February 2013 in a friendly game against Torpedo Armavir.[4] However, he did not play for them in the Russian Premier League and stayed there a half-year playing for their second team.
Loan to Astana
On 6 June 2013, he joined Astana on a season-long loan deal. During his playing for Astana, he appeared in seven matches and scored one goal. On 4 July 2013, he made his debut in the UEFA Europa League, coming on as a substitute in the 62nd minute in a first qualifying round match against Botev Plovdiv.[5]
Kairat
On 11 February 2014, a transfer deal was made between the teams FC Kuban Krasnodar and FC Kairat after that he signed a three-year deal with Kairat.[6] In the end of July, 2016 he got an offer from the champions and the leading team of Kazakhstan Premier League at that moment, FC Astana, to join the team when the contract with FC Kairat expires. However, it was rejected by the footballer.[7] Islamkhan left Kairat at the end of the 2019 season after his contract expired.[8] Following his release from Kairat, Islamkhan joined Zenit St.Petersburg on trial during their January training camp in Qatar.[9]
Al Ain
On 31 January 2020, he signed for UAE side Al Ain until the end of 2019–20 season.[10]
In December 2020, Islamkhan was handed a two-year ban from football after testing positive for a banned substance after an Al Ain game in the AFC Champions League during September 2020.[11]
International career
Islamkhan playing against Austria in a World Cup qualification game in 2012.
In November 2022, after completing a two-year suspension, Bauyrzhan Islamkhan received a call-up to the Kazakhstan national team for friendly matches against Uzbekistan and the UAE.[15]