Jeff Branson's journey in Major League Baseball began when he was drafted by the Cincinnati Reds in the second round of the 1988 MLB Draft. A native of Waynesboro, Mississippi, Branson attended Southern Miss, where he honed his skills as an infielder. His professional debut came in 1992 with the Reds, marking the start of a career that spanned nearly a decade in the major leagues.

Primarily a second baseman and shortstop, Branson was known for his defensive capabilities and utility on the field. Throughout his time with the Reds, he provided reliable infield coverage and contributed to the team's depth. His batting average during his tenure with Cincinnati reflected the challenges many players face in maintaining consistency at the plate, but his defensive skills often kept him in the lineup.

In 1997, Branson was traded to the Cleveland Indians, where he continued to serve as a utility infielder. His time with the Indians was relatively brief, but he was part of a team that was competitive in the American League during that period. The Indians were known for their strong roster, and Branson's role, though limited, was part of the broader strategy to maintain a versatile bench.

Later in 1997, Branson found a new home with the Los Angeles Dodgers. With the Dodgers, he continued to play a supporting role, often coming off the bench or filling in for injured starters. His ability to play multiple infield positions made him a valuable asset for the team, which sought to balance its lineup with experienced players who could step in as needed.

Branson's career in the majors concluded after the 2001 season. Over the course of his career, he played in 694 games, recording a batting average of .246, with 34 home runs and 156 RBIs. While his offensive numbers may not have stood out, his defensive reliability and adaptability were appreciated by the teams he played for.

After retiring as a player, Branson transitioned into coaching, sharing his knowledge and experience with younger players.