Eric Holder, 29, is wanted for homicide, the LAPD said on Tuesday.
Holder went to Hussle and two other men on Sunday, in front of a business in a shopping mall on West Slauson Boulevard, police said in a statement. He fired several times at them and ran into a nearby alley, where a vehicle – "run by an unidentified female" – was waiting for him, police said. The carrier entered the passenger's side and the vehicle fled, authorities said.
Hussle died in the shootout and the other two men were injured and were transported to the hospital.
"The detectives have worked tirelessly and are asking the public to help locate the suspect in this case," police said in a statement.
Holder was last seen on a white four-door Chevy Cruze, 2016, with the California license plate 7RJD742, the police department said on Twitter.
"Anyone who has information regarding your whereabouts or this fatal shoot-out should contact the South Bureau Homicide at 323-786-5100."
Authorities treat injuries at Hussle memorial
On Monday night, a huge crowd gathered in the streets of southern Los Angeles for a memorial to the rapper.
Several people were injured during the event.
The Los Angeles Fire Department carried 19 patients, most of them with "road-blocking injuries," the fire department said.
People were seen running into a live signal from CNC's KCAL / KCBS branch as chaos unfolded at one point during the memorial. Some were carrying others who looked injured, as emergency workers worked on people on the scene.
Of the patients transported by the fire department, two had critical injuries and two had serious injuries. The others suffered life-threatening injuries, according to the fire department.
There were no gunshot wounds in any of the injured, the LAPD tells CNN.
The Los Angeles Police Department was on "modified tactical alert" during the memorial, the police department said. Police were seen with riot gear and batons on the KCAL / KCBS live signal.
An entire brokenhearted community
"We understand that the community is in mourning and we feel its loss," the Los Angeles Police Department said in a tweet Monday night. "We are asking everyone to follow the instructions of the police and disperse from the immediate area. Our men and women are on the scene and making every effort to protect everyone present on the vigil of Nipsey Hussle."
Los Angeles County Superintendent Mark Ridley-Thomas called for "calm" after news of the rapper's death.
"I call for calm and a period of reflection. Violent retaliation for this event will not be tolerated," he said. "For healing to occur, even from this terrible incident, justice must be sought through legal means, and community peace must be found."
He said that Hussle was "father, entrepreneur, artist and inspiration to many".
In addition to the huge crowd that united to honor the rapper near where he died, hundreds more lamented throughout the country, and emphasized the hole that Hussle's death will leave in his community.
Los Angeles police commissioner Steve Soboroff revealed on Twitter that he was scheduled to meet with Hussle at the rapper's request to "talk about how he could help end gang violence and help us help kids."
Career of Nipsey Hussle
The following year, he performed all over the country on his Crenshaw Tour.
Hussle has joined dozens of successful artists including Kendrick Lamar, Drake, YG, Ty Dolla Sign, Mill Meek and Young Thug.
He made moves out of the music industry as well. Last year, he launched Marathon Clothing's first store at 3420 W. Slauson Avenue in Los Angeles. He also owned the Marathon Agency, SC Commercial Ventures, Proud 2 Pay and All Money In Money Out Records, according to Press Atlantic Records.
His page lists Ice Cube, Snoop Dogg and Tupac Shakur as some of his influences.
Hussle was nominated for the best rap album at this year's Grammy, but lost to Cardi B.
Eliott McLaughlin of CNN contributed to this report.