A spokeswoman said two suffered serious injuries and were taken to Starship Hospital for treatment.
Three others were in a moderate condition and five others suffered minor injuries.
The spokeswoman said one of those with moderate injuries was taken to Auckland City Hospital for treatment while another was taken to Waitakere Hospital.
Police said those with the most serious injuries were travelling in the van when it crashed.
The Serious Crash Unit and the Commercial Vehicle Safety Unit have been advised and would be investigating the accident.
A section of Tawa Rd, near Te Atatū Rd, will be closed while the scene was examined by the Serious Crash Unit.
Police advised motorists to expect delays while travelling through the area this morning.