With Argentinian club Quimsa, he was a two-time BCL Americas champion and the only player to win the league's MVP award twice, in 2020 and 2024.

Robinson averaged 18 points and six rebounds as a sophomore and earned first-team FCCAA All-Mid-Florida Conference and second-team NJCAA All-Region accolades.

[7] The forward earned first-team All-Peach Belt and NABC Division II All-Southeast Region honors following the season.

[6] In March 2011, Robinson was named a Division II All-American, becoming the first Clayton State player to do so under Gibbons and the second in school history.

[7] In October 2011, Robinson was named to the 18-man training camp roster Oshawa Power, who would play in the inaugural 2011–12 National Basketball League of Canada (NBL) season.

He was named NBL Canada Player of the Week on January 30, 2012, after posting 34 points vs. the Saint John Mill Rats.

[9] He earned Player of the Week honors once again on February 20, following a season-high 37-point performance in a rematch with the Mill Rats.

In 2016, he helped lead Pedro's Posse to the Super 16 Round in the tournament, averaging 17.8 points per game, also shooting 86 percent from the free-throw line.

On November 5, 2017, Brandon Robinson scored 47 points on 14-of-23 shooting from the field in a 96–94 win over Osorno Básquetbol.

In the 2021–22 season, Robinson played with Brazilian club Flamengo of the Novo Basquete Brasil (NBB).