South Yorkshire hopes to run a publicly-controlled bus network by the end of 2027.
The fares decision was taken at a meeting of the SYMCA board in November.
Aside from 2021, the fare freeze is the first since the late 1990s.
“Whether you’re commuting, studying, visiting family or heading out for the night, we’re building a transport network that works for everyone,” Coppard said.
“Freezing and reducing fares is just the start.”