The man accused of mowing down dozens of pedestrians during a rampage through Melbourne's CBD has been charged with five counts of murder.

ABC News said it follows questioning of 26-year-old Dimitrious Gargasoulas a Melbourne West police station.

However his lawyer said he hasn't appeared in court as planned because is unwell.

He has been remanded in custody and ordered to face court via video link in August.

Five people, including two children, died when a driver ploughed through crowds of pedestrians on Friday.