Officer Diana Kaouris has been on the force for six years, and is now assigned to the 102nd Precinct.
A woman was robbed of her headphones while jogging in the park earlier this week.
There has been a rash of tire and rim thefts in Kew Gardens, police said.
There have been three such cases in Ozone Park this year.
Police found a loaded gun during the arrest.
The suspect is still at large after the attacks earlier this year.
The NYPD had increased patrols after a rape occurred there in August.
The growing call for an increased police presence comes after a string of sex attacks in the park.
Dartanyan Kingsberry, 23, is wanted for allegedly slashing a woman multiple times, police said.
The 102nd Precinct assigned permanent patrol to monitor the park.
Police officers will now patrol the Queens park seven days a week.
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