The nearest dog park will be Griffith Park Dog Park. Here's the info:
GRIFFITH PARK DOG PARK
Located at north end of the John Ferraro Soccer Field on North Zoo Drive, Los Angeles, CA 90027
Facility Hours of Operation: Monday - Friday: 5:00 a.m. to 10:30 p.m.
Saturday - Sunday: 5:00 a.m. to 10:30 p.m.
Off-leash dog park. There is a separate, fenced and gated area for small and timid dogs. Food is not allowed in picnic area. 1.6 acres. There is a separate area for small or timid dogs. Open sunrise to sunset.
Facility Features: Picnic tables, dog troughs, drinking fountains, parking for up to 40 cars, portable restroom facility.
You can also take your dog to Stough Canyon in Burbank Hills - however this is not an off leash dog park.
Hope this helps.
Norma and Kyle
REMAX Town Center