Green was born in Boca Raton, Florida in 1986. He attended a different school for each of his four years of high school. Following his sophomore year, in which his Westminster Academy team won the Florida Class 2A State Championship, Green was named MVP of the State Playoff Tournament and Broward County 3A-2A-1A Player of the Year. His signature game came at home during the regular season against Dillard High School, the three-time defending Class 6A State Champions, where he scored 38 points and made nine 3-point shots in leading his team to a blow-out victory. Green completed his senior season and high school career at Cardinal Gibbons High School in Fort Lauderdale, Florida.
College career
Green accepted an athletic scholarship to attend the University of Florida, where he played for coach Billy Donovan's Florida Gators men's basketball team from 2004 to 2007. He was a starting member of the Gators teams that won the 2006 NCAA Men's Division I Basketball Tournament on April 3, 2006, and the 2007 NCAA Men's Division I Basketball Tournament on April 2, 2007, as well as the 2006 and 2007 SEC Tournaments. Green also passed the 1,000-point benchmark in his career at Florida, racking up over 1,170 points in just three seasons, the first of which he did not play much. Four of his former teammates have also passed the 1,000 point mark: Joakim Noah, Corey Brewer, Lee Humphrey and Al Horford.
In 2008, Green signed with Basket Zaragoza 2002 of the SpanishACB league. He debuted in the 2008 Supercopa and scored 18 points in his first game, against Joventut Badalona. On August 25, 2009, he signed with AEK Athens of the Greek Basket League. In July 2010 he returned to Spain and signed a two-year contract with CB Gran Canaria. In February 2012 he left CB Gran Canaria and signed a contract in Turkey with Tofas Bursa. In July 2013, Green signed with Limoges CSP. and won the French League title on his first season with them. On June 20, 2014, he signed a two-year deal with ASVEL Basket. After one season, he parted ways with ASVEL. On August 16, 2015, he signed with Sidigas Avellino of Italy. On February 13, 2016, he left Avelino and returned to his former club AEK Athens for the rest of the season. On August 15, 2016, Green signed with Israeli team Bnei Herzliya for the 2016–17 season. On June 6, 2017, Green signed a two-year contract extension with Herzliya. On January 8, 2018, Green recorded a career-high 28 points, shooting 8-for-13 from the field, along with 5 assists in an 86–82 win over Ironi Nes Ziona. Three days later, he was named Israeli League Round 12 MVP. On November 8, 2018, Green returned to France for a second stint, signing a one-year deal with the Antibes Sharks. On September 23, 2019, he has signed a try-out contract with Le Mans Sarthe of the LNB Pro A. He will replace injured Brandon Taylor for 8–10 weeks. On November 13, 2019, Le Mans announced the signing of Taurean Green till the end of the season. On July 7, 2020, he has signed with Stal Ostrów Wielkopolski of the Polish Basketball League.
In the summer of 2017, Green played in The Basketball Tournament on ESPN for Pedro's Posse. He competed for the $2 million prize, and for Pedro's Posse, he scored 15 points in their loss to Team 23 in the first round, by a score of 107-92.