Beijing and Shanghai have given no indication of whether the bans will be lifted.
Other bike-rental companies are considering raising prices, as warmer weather brings a likely rebound in trip numbers.
The law comes as concern mounts about the financial stability of a number of mobility firms in the rental economy sector.
Discarded bikes are languishing after the rental-bike boom went bust due to high retrieval costs.
Bike companies have a longer time for implementation than previously announced.