Ibrahimovic struck twice in the opening 15 minutes as Galaxy drew 3-3 with Los Angeles in their derby clash at Banc of California Stadium.
In an enthralling start, Ibrahimovic produced a brilliant left-footed finish after being played in by Cristian Pavon in just the second minute.
Latif Blessing headed in an equaliser for LAFC before Ibrahimovic restored Galaxy's lead.
Galaxy took a 3-1 lead in the 16th minute, Pavon getting on the end of a Favio Alvarez pass before finishing.
Blessing scored again before half-time and LAFC were level eight minutes after the break, Carlos Vela netting his 27th MLS goal of the season.
Vela was replaced shortly after the hour-mark with a suspected hamstring injury, neither team able to find a winning goal as Galaxy stayed unbeaten against its rival.
Los Angeles is 19 points clear atop the Western Conference, while Galaxy moved into fourth.
Elsewhere, Zdenek Ondrasek scored a brace as Dallas thrashed Houston Dynamo 5-1.
Gyasi Zardes was the star for Columbus Crew, which ended a four-game winless run by beating Cincinnati 3-1, the forward netting a brace.