Rank, Team, , Last 3, Last 1, Home, Away, 1, Houston, , , , , , 2, NY Yankees, , , , , , 3, Texas. June sees greatest number of home runs in 1 month in MLB history for the most home runs in a month in Major League Baseball history. 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. He passed Hank Aaron, who is currently second withon August 7, Fittingly, in a time of rising power, the record-breaking three-run shot was Smoak's 22nd homer, two more than he hit in any of his previous eight seasons in the big leagues. TV Demo Buy Gameday Audio Alternative The casinos MLB. This is a list of the top Major League Baseball leaders in home runs hit. Did you know that during the season Harry Heilmann completed the feat of hitting a home run in every park in the National League — thus becoming the first senior circuit player to accomplish this unique home run feat within the National League?