Ibrahimovic's tying goal - a 40-yard shot over retreating LAFC keeper Tyler Miller - in the 77th minute would have been enough to make the game an instant classic, but he took it to another level when he scored on a header in stoppage time to win the game for the Galaxy.
Former Arsenal of England forward Carlos Vela had struck twice to put the visitors ahead before L A Galaxy pulled one back in the 61st minute.
Two minutes later, the 36-year-old Swede was involved in the build-up for Galaxy's second goal, headed in by Chris Pontius from Emmanuel Boateng's cross.
Ibrahimovic exceeded the sky-high expectations placed on his shoulders and instantly made good on his promise to help the Galaxy return to their winning ways after a dismal 2017 campaign where they failed to make the playoffs for the first time since 2008.
Zlatan Ibrahimovic has admitted that his stunning 40-yard strike on his Los Angeles Galaxy debut was effectively a product of tiredness. "That's a goal that will go around the world".
More Spring-like for a couple of days Isolated showers will linger into Friday morning, but once the cold front clears Alabama rain will finally taper off. But, rain showers late Saturday is in the forecast along with some snow overnight into early Easter Sunday .
LAFC had a chance to regain the lead when Costa Rican worldwide Marco Urena hit the woodwork late on.
In the first ever LA derby against LAFC, Ibrahimovic watched his new side fall 3-0 behind from the substitutes bench.
But Los Angeles did not have to wait long for the second, with Vela beating Bingham before coolly taking his time to lift his shot into the goal off the underside of the bar.
Ibrahimovic, who announced his switch to the MLS last month has maintained his fantastic record of scoring on his debut. But an own goal by a Galaxy player had compounded their problems as their hopes of levelling the game looked bleak.
European Union urges independent probe into Gaza deaths
The military said some had shot at them, rolled burning tyres and hurled rocks and fire bombs towards troops across the border. The Red Crescent reports that a Palestinian protester has been killed, raising the total number of casualties to two.
Health officials warn of influenza B virus
Chalkley says, "Some of our  deaths have been attributable to Influenza A while others have been attributable to Influenza B". Peak flu season may be over and flu cases may be on the decline , but officials are warning residents to remain vigilant.
Rams' McVay: No trade off table if it's upgrade
Shurmur answered: "He's an outstanding football player, you know?" "Who knows how that video appeared?" "We always want weapons". All indications are he will be back healthy by the time we start playing in September'. "I understand that.
5 bold Premier League predictions: Tottenham beat Chelsea
Tottenham are unbeaten in six Premier League away games since a 4-1 defeat by Manchester City in December. "Nothing is impossible. For example, last season, Chelsea won the title, Manchester United won the Carabao Cup, and Arsenal won the FA Cup .
Saudis, SoftBank Announce World's Largest Solar Power Project
Saudi Arabia also plans to build at least 16 nuclear reactors in the next 25 years at a cost of more than 80 billion Dollars . Saudi Arabia has signed a memorandum of understanding with Softbank Group to set up the world's largest solar project.