Jones was picked in the 5th round of the 1986 NFL draft by the Pittsburgh Steelers. Five days after being drafted, Jones got into a car accident causing injury to his neck. The Steelers kept him on the roster until about a month into the regular season, leaving him unsigned until the following season when he joined the 49ers as a backup during training camp. Jones emerged as a starter in the 1989 season, following the retirement of John Frank.
Jones is a Republican. Over the last several years he has been rumored as a potential political candidate. As of August 2006 he is considered by many pundits to be a potential candidate for the US Congressional seat held by freshman Rep. Jerry McNerney in northern California's district 11. On March 19, 2009, the San Francisco Chronicle reported that Jones was being recruited to run in a special election to replace U.S. Rep. Ellen Tauscher, who was appointed to a position in the State Department, in 10th Congressional District of California. On March 4, 2010, David Harmer, a Republican candidate running for the 11th Congressional District of California, announced that Jones had endorsed Harmer's campaign.
Jones has 2 daughters, Rachel (played D1 soccer at Cal Poly) and Courtney (played D1 soccer at North Carolina) Brent's youngest daughter, Courtney Jones, is a top American professional soccer player, most recently a part of the NWSL Kansas City team and now again with the Boston Breakers of the NWSL, after starting for North Carolina and helping them to two NCAA championships at the University of North Carolina.  Brent and his family live in Northern California and in Texas.