Good performances in Estonia earned Kangur his first foreign contract in 2004 when he signed with Bayer Giants Leverkusen of the German Bundesliga where he spent the next two seasons.

[2] In July 2009 Kangur signed a deal with French Pro A top team ASVEL Basket.

[4] He played five games for the Bologna team averaging 7.6 points with a field goal percentage of 90% on two-pointers and 100% on three-pointers.

In July 2011 Kangur signed a three-year deal with Italian powerhouse Montepaschi Siena but was loaned to Varese for the 2011–2012 season.

[7][8] In his second year in Varese he posted similar numbers with 10.9 points and 5.2 rebounds in 36 games and earned himself a place in Siena's roster.

He showed a high-quality game on both sides of the court by being one of the top defensive players in the team and also hitting 23 three-pointers with 56.1% accuracy in the EuroLeague Regular Season.

Kangur helped Milano to reach the 2013–14 Euroleague Quarterfinals where they lost to eventual champions Maccabi Tel Aviv.

On 11 October 2015, Kangur signed a two-month deal with the Spanish team Laboral Kutxa Baskonia to replace injured Tornike Shengelia.

Kalev/Cramo finished the first LEBL season in third place and defended the home league title giving Kangur his fifth Estonian Championship.

[21] Kangur represented Estonia for the first time in youth level at the 2002 FIBA Europe Under-20 Championship Qualifying Round.

[25] On 1 September 2013, Kangur and the Estonian national team gained a spot for the 2015 European Championships by beating Bulgaria in a two-legged final of the EuroBasket 2015 First Qualification Round.

Kangur was the captain of the national team and played in all five games during the group stage averaging 7.4 points and 3.2 rebounds.

[28] Kangur and his long-time friends Janar Talts and Gregor Arbet played their national team farewell game on 21 February 2019 against Serbia.