The chain of events started Sunday when the suspect was allegedly driving fast on a highway and rear ended a car, said police.
The suspect allegedly then stole a car, which had been reported stolen after a home invasion and stabbing in Richmond at around 6 p.m. PT, said police.
At around 7 p.m., the suspect crashed the stolen Richmond car into another vehicle, head-on, at 27th Avenue and Victoria Drive in Vancouver.
He fled the crash scene and ran to Victoria Drive and Kingsway, police said, which is less than 200 metres away from the car crash site.
He then allegedly tried to rob a man at a bank machine.
"He then went across the street to a gas station and carjacked a second vehicle," Vancouver police Const.Brian Montague said in a written statement.
The driver of that car received some minor injuries, but was able to escape with his wife and their seven- and 10-year-old children, who had been in the back seat.
The suspect drove off in their car: a 2002 grey four-door Honda Civic with a hood bra on the front and B.C. licence plate 360 SGR.
Police said the family's car is still missing and the suspect may still be with it.
The suspect, described as a white man in his early 30s, is about six feet tall with a heavy build. He has a light goatee with stubble, short brown hair and was wearing a white shirt and blue jeans, police said.
The suspect was last seen driving away from Victoria Drive at Kingsway, in Vancouver, in the Honda Civic.
"If anyone sees this car, police ask that they do not approach the car or anyone near it and call 911 immediately," Montague said.