According to California's Administrative Office of the Courts, those who have a past-due ticket which has not been paid can pay it off at 50 percent from Jan. 1 to June 30.
Only moving violations will be eligible. Parking tickets will not be covered by the amnesty program.
Officials are hoping to recoup losses on tickets that were due by Jan. 1, 2009.
The offer is expected to boost the number of payments on outstanding tickets by the Los Angeles Superior Court, which collected about 20 percent of fines on more than 420,000 tickets that were referred to its collections agency in the last fiscal year, the Daily News reported.
People who do not owe restitution in any court case countywide, or have outstanding warrants, are eligible for the discount, the newspaper reported.
Unpaid traffic fines result in a hold being put on license renewals, or warrants, and can lead to bigger problems for those caught driving with unresolved violations.
City News Service contributed to this report.