Witnesses said it appeared a handcuffed man grabbed an officer's service revolver and fired at the officers.
The names of the officers have not been released.
One of the officers, a 5-year veteran of the force, was admitted into the hospital and underwent surgery to his hand as a result of a gunshot wound. He had a second surgery Monday to the same hand and is recovering at the hospital, police said.
The second officer suffered contusions to his chest from a gunshot and bullet fragments hitting his bulletproof vest. He also has a bullet fragment lodged in his leg. He has been released from the hospital and is recovering at home.
The suspect has been identified as Jamie Willard, a 30-year-old transient from Gresham, Oregon.
He was treated for injuries suffered during the struggle and booked at the Los Angeles County Jail on two counts of attempt murder on police officers.
Willard is being held on a $1,000,000 bail and is scheduled to be arraigned at the Burbank Superior Court on Wednesday.