The New York City Taxi Workers Alliance says its members voted not to drive for Uber or Lyft between 7 and 9 a.m. Wednesday.
San Francisco-based Uber is aiming to raise $9 billion in its initial public offering Thursday.
Drivers in other U.S. cities are planning a work stoppage Wednesday to demand a minimum wage.
App-based drivers in New York City are already legally entitled to a minimum wage of about $17 an hour after expenses. The Taxi Workers Alliance says its demands include greater job security.
An Uber spokesman declined to comment. A Lyft spokeswoman said Lyft drivers' hourly earnings have increased over the last two years.