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.
So far, more than 1,000 user accounts have been frozen for periods of time ranging from five to 90 days.
The rules went into effect on Wednesday on Didi’s bike-rental platforms Qingju and Bluegogo.
Didi’s struggles in the bike-rental market led to a launch of its own brand, Qingju.
While Ofo’s legal troubles pile up, millions of users are reportedly still waiting for their deposits.