Standard fares into the city centre have doubled in some places.
A simple fare rate from Morley to Leeds railway station usually in the region of £10-13 now stands at £23.
Similar fares have surged at peak times across the day.
It came as taxi drivers across the city took to the streets to protest new laws, including the council's Suitability and Convictions policy introduced in 2020.
The strike, led by representatives of Leeds Private Hire Drivers Organisation, is to run until the early hours of Tuesday morning.
In a statement provided to the YEP an Uber spokesperson stated:
"The Uber app uses dynamic pricing to make sure that people can get a car when they need it.
"When a large number of people in a specific area are booking a trip at the same time and there aren’t enough available cars, fares automatically rise to encourage more drivers to go to the busy area. Users will always see a fare estimate in advance."