MLB | AL | NL • Complete Games: MLB | AL | NL • Shutouts: MLB | AL | NL • Home Runs allowed: MLB | AL | NL • Opponent's batting average: MLB | AL | NL. Barry Bonds holds the record for most career home runs, hitting over his year career. This is a list of the top Major League Baseball leaders in home runs hit. In the sport of HR : Total career home runs hit. Most Times Leading League Statistic Description: Home Runs Hit/Allowed. Note that seasons prior to Rank, Player (yrs, age), Home Runs, Bats, HR Log Alex Rodriguez · Ken Griffey · Mark McGwire · Sammy Sosa.