Dozens of demonstrators turned out for the march on Tuesday which was organised by a group known as the Justice Campaigners.
They met outside the office the West Yorkshire Police and Crime Commissioner, Mark Burns-Williamson, on George Street.
After an hour, they moved on to the Independent Police Complaints Commission (IPCC) office, in Woolpack’s Yard.
Felicity Stewart-Smith, joint-organiser of the demonstration, said: “Whilst the snow overnight and the biting cold and rain decimated the attendance, we were pleased with the event overall. “We are not at all anti-police, we are anti police corruption and this protest raised awareness of the dissatisfaction of a significant number of victims of the police complaints system and the IPCC.”