The cap was originally implement last August, in an effort to address growing traffic congestion in the city, as a one-year ban on new vehicle licenses.
Currently, Hampton Jitney passengers connecting through JFK and LaGuardia airports are required to find their own method of transportation for the first-and-last leg.
Mayor Bill de Blasio also announced a fee waiver for yellow cab drivers.
With seats available for five people, Uber estimates that the ride will cost between $200 and $255 per person, on average.
The minimum wage mandate, approved by the New York City Taxi & Limousine Commission, went into effect last year.
Uber sued reportedly out of fear the cap will be made permanent.
The tax would extend a surcharge already imposed on the New York City Metro area.
The surcharge fee would have raised the price of a Lyft or Uber ride by $2.75 and a taxi ride by $2.50 in Lower Manhattan.
A survey conducted by comparison website CheapCarRental.net found travelers New York City will pay $179 per day for the most affordable car.
inDriver, created by college students on social networking site in Siberia in 2012, has launched in its first U.S. market, New York City.