A regular member of the Russian national basketball team, he was instrumental in their triumph at the EuroBasket 2007, where they won the gold medal. He also won two bronze medals at the EuroBasket 2011 and at the 2012 Summer Olympics.
Khryapa played for Khimik Engels in 1999–00, and for Avtodor Saratov in 2000–02. In 2002, Khryapa was signed by CSKA Moscow, with whom he won two Russian Championships in 2003 and 2004.
Khryapa was the 22nd overall selection of the 2004 NBA draft. He was chosen by the New Jersey Nets and then subsequently traded to the Portland Trail Blazers for Eddie Gill. Then on June 28, 2006, he was traded to the Chicago Bulls along with Tyrus Thomas, for the rights to LaMarcus Aldridge.
In February 2008, the Chicago Bulls bought out Khryapa's contract after the forward expressed frustration with his lack of playing time. He had appeared in just nine games in the 2007-08 NBA season to that point, averaging 3.6 points per game and 2.2 rebounds per game.
Khryapa intended to return to Russia as a member of CSKA Moscow, and signed with his former club on February 12, 2008, on a four and a half year contract. With CSKA he won the Russian Championship in 2008, 2009, 2010 and 2011, the VTB United League Championship in 2010 and the EuroLeague Championship in 2008. In May 2014, he was named to the All-EuroLeague Second Team of the EuroLeague, the second consecutive in his career.
Khryapa missed the first half of 2014–15 season due to an ankle injury rehabilitation. On December 10, 2014, he underwent surgery which kept him off-the-court for three months. He returned to action in a game against Laboral Kutxa on March 5, 2015. CSKA Moscow has managed to advance to the EuroLeague Final Four for the fourth straight season, after eliminating Panathinaikos for the second straight season in the quarter-final series with a 3–1 series win. However, in the semifinal game, despite being dubbed by the media as an absolute favorite to advance, CSKA once again lost to Olympiacos. The final score was 70–68, after a great Olympiacos comeback in 4th quarter, led by Vassilis Spanoulis. CSKA Moscow eventually won the EuroLeague third place game, after defeating Fenerbahçe, by a score of 86–80. Over 10 EuroLeague games played, he averaged a career-low of 1.2 points, 1.8 rebounds, and 1 assist per game.
On July 23, 2015, he re-signed with CSKA for one more season. In June 2016, CSKA used team option to keep Khryapa in the club for yet another season.
Khryapa has been a member of the senior men's Russian national basketball team, winning the gold medal at the EuroBasket 2007. He also participated in the 2002 FIBA World Championship, the EuroBasket 2003, the EuroBasket 2005, and won a bronze medal at the EuroBasket 2011. He represented Russia in the 2008 Summer Olympics, as well as in the 2012 Summer Olympics, where Russia won another bronze medal. He was included on the Russian national team roster for the 2010 FIBA World Championship, but did not play due to an injury.
Khyapa's older brother, Nikolai Khryapa, was also a professional basketball player.
Note: The EuroLeague is not the only competition in which the player participated for the team during the season. He also played in domestic competition, and regional competition if applicable.