Baptiste played for the Broncos' NYC team from 2009 to 2011, scoring 28 tries in 67 games and being named at hooker in the 2011 NYC Team of the Year.[6][7] In 2009, he represented the Queensland under-18 team in their 24–6 loss to New South Wales under-18.[8]
On 18 November 2013, Baptiste signed a 1-year contract with the Canberra Raiders starting in 2014.[11][12] On 3 September 2014, Baptiste re-signed with the Raiders on a 2-year contract.[13]
In 2016, Baptiste became a crucial member of the Raiders team, playing in 24 of their 27 matches. On 7 May 2016, he made his international debut for Papua New Guinea against Fiji in the 2016 Melanesian Cup.[3][14]
On 17 November 2016, Baptiste re-signed with the Raiders on a two-year deal.[15][16]
In December 2016, Baptiste ruptured his Achilles during pre-season training, which saw him miss half of the 2017 NRL season.[17] He returned in Round 14 of the 2017 season, playing just 11 games for the Raiders.[18] In late 2017, he represented Papua New Guinea at the 2017 Rugby League World Cup, playing four games.[19]
Leigh Centurions
On 18 December 2017, Baptiste joined English Championship club Leigh Centurions on a one-year deal.[20] On 4 March 2018, after playing just one game for the club, he was granted a release from his contract due to personal and family reasons.[21]
Sydney Roosters
On 14 March 2018, Baptiste returned to Australia, signing a one-year deal with the Sydney Roosters.[22] In June, he came off the interchange for Papua New Guinea in their 26–14 win over Fiji.[23] He made just 9 appearances for the Roosters during the 2018 NRL season, spending the majority of the season playing for their Intrust Super Premiership feeder club, the Wyong Roos.
North Queensland Cowboys
On 11 October 2018, Baptiste joined the North Queensland Cowboys on a one-year deal.[24] After missing the entire pre-season and first two rounds due to injury, Baptiste played two games for the Northern Pride, the Cowboys' Queensland Cup feeder club.[25]
On 13 September 2019, it was announced that he would not be re-signed by the Cowboys.[28] In 2020, he joined the Easts Tigers in the Queensland Cup.[29]
^ abMou, Freddy (6 May 2015). "How 'Big Mal' gave Canberra Raiders PNG star Kato Ottio belief". Loop PNG. Retrieved 7 May 2016. Fellow Raider Kurt Baptiste will make his Kumuls debut on Saturday. His Papua New Guinean heritage comes from his father, Bevan, who was born on the island of Samarai and moved to Brisbane aged 14.