Based on NCAA transfer rules, Bowen will have to sit for two semesters at SC before being eligible to play.
The FBI alleged that an Adidas executive and a Louisville coach conspired to funnel $100,000 to the family of an elite recruit to play for the Cardinals and represent the shoe-apparel giant after he turns pro.
"I can not speak for the NCAA but I am confident that they will be fair and will afford Brian the due process that he deserves", attorney Jason Setchen said.
Bowen's attorney, Jason Setchen, told reporters in November the Federal Bureau of Investigation had cleared Bowen of any wrongdoing.
NCAA transfer rules mandate that a player such as Bowen, who was enrolled at Louisville for the fall semester but not the spring session, must sit out two semesters before playing for a new school.
Wednesday afternoon SC issued a statement, announcing Bowen's enrollment.
"I'm elated that SC and Coach Martin have given Brian the opportunity to play college basketball and fulfill his dream at the collegiate level", Bowen's lawyer, Jason Setchen, said.
"The way it's been expressed to me is that the young man has been cleared by the FBI", Martin said.
"Brian is an exceptional young man and a basketball player with a very high IQ for the game", Martin said in a statement.
Bowen, a 6-foot-7 forward, was a five-star prospect who committed to Louisville in early June, even though the U of L staff had not recruited him for several years.
"Brian deserves a fresh start, and I would like to thank our university administration, President (Harris) Pastides, our board of trustees and Ray Tanner for their hard work and guidance in helping Brian become a member of our Gamecock family".
"Over the coming months, we will work diligently with the NCAA through our compliance office to ensure that Brian is eligible for competition", said the Gamecocks' athletic director, Ray Tanner.
While Bowen has not practiced yet, Martin said his addition has brought a jolt of energy to the program, which advanced to the Final Four a year ago.
SC also was among the schools that had an assistant coach charged as part of the Federal Bureau of Investigation probe.