You don't. Walk, bike, or take public transit. Cars are not allowed in Central Park and you shouldn't be driving Manhattan if you have any other option.
If you get their early, along 5th Ave. and towards the 90s Streets.
Sunday parking is pretty good also. I believe they have a lot but it might be restricted to certain vehicles.
After 6 pm on weekdays, plenty of street parking. Try on Park Avenue or Madison Avenue & around 70th Street.
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