Mbense said commuters were informed days ago about the strike and were advised to make alternative arrangements.
The association apologised to commuters who have been inconvenienced.
Some locals have resorted to trains and buses. Others got lifts from passing motorists.
No incidents of violence or intimidation have been reported.
"We are not partaking in the strike‚ however‚ we have noticed before that our bus drivers and buses were previously stoned. We will keep commuters informed of any developments‚" wrote the Tshwane Bus Services on Twitter.
Several roads will be affected in Tshwane due to the march.
The streets that will be affected are Struben‚ Nelson Mandela and Madiba. Tshwane metro police spokesperson senior superintendent Isaac Mahamba advised motorists to use Nana Sita‚ Francis Baard and Boom Streets.
The traffic department has warned motorists to use alternative routes.