SAN FRANCISCO — Barry Bonds hit No. 756 to the deepest part of the ballpark Tuesday night, and hammered home the point: Like him or not, legitimate or not, he is baseball’s new home run king.

Bonds broke Hank Aaron’s storied record in the fifth inning, connecting on a 3-2 pitch from Washington’s Mike Bacsik. Three days earlier, Bonds tied the Hammer with a shot to left-center in San Diego.

‘‘Thank you very much. I got to thank all of you, all the fans here in San Francisco. It’s been fantastic,’’ he said shortly after crossing home plate, his godfather, Willie Mays, at his side.

‘‘I got to thank my teammates. Through all of this, you’ve been strong and given me all the support I needed and I’ll never forget it as long as I live.’’

After thanking his children, he said: ‘‘I’m glad I did it before you guys went to school.’’

To the Nationals, he said: ‘‘Thank you for understanding this game. It means a lot to me.’’

He saved his late father, Bobby, for last.

‘‘To my dad,’’ he said, his voice broke as he pointed to the sky. Through tears, he added, ‘‘Thank you for everything.’’

Conspicuous by their absence were the commissioner and Aaron himself.

Bud Selig was on hand for the tying homer, deciding to put baseball history ahead of the steroid allegations that have plagued the San Francisco Giants slugger. On this night, he sent an emissary, Major League Baseball executive vice president Jimmie Lee Solomon.

As for Aaron, he said all along he had no interest in being there whenever and wherever his 33-year-old mark was broken. He was true to his word, but he did offer a taped message of congratulations that played on stadium’s video board.

‘‘I move over now and offer my congratulations to Barry and his family,’’ Aaron said.

Absent, too, were the fans who held up asterisk signs, sure that Bonds wasn’t the real deal and that his power came from steroids.

Bonds didn’t face such suspicions at AT&T Park, in front of a loyal, home crowd. Bonds has always denied knowingly using performance-enhancing drugs.

Yet even with Bonds at the top of the chart, fans will surely keep debating which slugger they consider the true home run champion. Some will continue to cling to Aaron while other, older rooters will always say it’s Babe Ruth.

‘‘It’s all about history. Pretty soon, someone will come along and pass him,’’ Mays said before the game.

A seven-time NL MVP, the 43-year-old Bonds hit his 22nd home run of the year. Bonds broke Mark McGwire’s single-season record by hitting 73 in 2001 and while he’s no longer such a force, opposing pitchers remain wary.

Bonds and Giants management bickered in the offseason over contract issues. This big night was the main reason owner Peter Magowan brought back the star left fielder for a 15th season in San Francisco, signing him to a $15.8 million, one-year contract.

Bonds’ once-rapid quest for the record had slowed in recent years as his age and balky knees diminished his pace. He hit 258 home runs from 2000-04, but has only 53 since then.

While steroids have tinged Bonds’ pursuit, it was race that was the predominant issue when Aaron broke Ruth’s mark in 1974. Aaron dealt with hate mail and death threats from racist fans who thought a black man was not worthy of breaking the record set by a white hero, the beloved Babe.

Former commissioner Bowie Kuhn watched Aaron tie the record but was not present for the record-breaker, a slight that bothered many fans of Aaron. Selig is a close friend of Aaron’s and offered Bonds tepid congratulations when he tied the record.

‘‘I think Hank is his own man,’’ Mays said. ‘‘I think if he wanted to be here he would be here.’’

‘‘When he hit 715, the commissioner wasn’t there,’’ he said. ‘‘You may not blame him because he wasn’t represented the right way.’’

Bonds was destined for stardom at an early age. The son of All-Star outfielder Bobby Bonds and the godson of one of the game’s greatest players, Bonds spent his childhood years roaming the clubhouse at Candlestick Park, getting tips from Mays and other Giants.

‘‘I visualized him playing sports at a high level. He was 5 when he was in my locker all the time,’’ Mays said.

In a matter of years, Bonds went from a wiry leadoff hitter with Pittsburgh in 1986 to a bulked-up slugger. That transformation is at the heart of his many doubters, who believe Bonds cheated to accomplish his feats and should not be considered the record-holder.

There are plenty of fans already hoping for the day that Bonds’ total — whatever it ends up — is topped. Rodriguez may have the best chance, with his 500 home runs at age 32 far ahead of Bonds’ pace.