As per the National Weather Service:
 
Synopsis:
The potential for strong thunderstorms will impact the NYC area this afternoon.  The Storm Prediction Center in Norman Oklahoma has placed the entire tri-state area under moderate risk for severe weather. With high air temperatures and dew point, convection will produce thunderstorms along a passing cold front beginning at 1:00 PM until early evening.  These thunderstorms could produce strong winds, large hail, localized nuisance flooding, and cloud-to-ground lightning.  There is a low potential for tornado development.  Convection will weaken at sundown with lingering showers overnight.
 
Precipitation:
Total rainfall expected is 0.25-0.50 inches.  Higher totals could be seen with stronger thunderstorms.  Rainfall rates are not expected to exceed 1.0 inches per hour, but higher rates should be expected with the stronger thunderstorms for less than one hour.  Small-to-large hail is possible with any strong thunderstorm cells.  
 
Winds:
Sustained winds 10-20 MPH, with gusts in excess of 25 MPH, are forecasted for this afternoon.  Depending on the severity of individual thunderstorm cells, potential winds gusts could exceed 58 MPH.
 
Urban Flooding:
Localized nuisance flooding can be expected with the stronger thunderstorms.
 
Coastal Flooding:
No coastal flooding forecasted by the NWS.

(YWN Desk – NYC)