The man was involved in a short pursuit on the westbound carriageway of the M55 in Blackpool before smashing into a roundabout in Yeadon Way on Wednesday.
The man, in his 50s and from Accrington, suffered multiple injuries and died at the scene.
The Independent Police Complaints Commission is to launch an investigation.
The man had been driving a Renault Captur when he collided with the Ashworth Circle roundabout at about 21:00 GMT.
A Lancashire police spokesman said: "We immediately referred the incident to the Independent Police Complaints Commission, this is standard practice following a death after police contact."

Real manager Zinedine Zidane has said he cannot guarantee Bale, Cristiano Ronaldo and Karim Benzema will stay at the Bernabeu this summer.
That has prompted reports Manchester United could rekindle their long-standing interest in the 28-year-old.
"It's a ridiculous, stupid story," agent Jonathan Barnett told BBC Sport.
Bale was hampered by injury last season and lost his place to Isco, but previously flourished under Zidane and was rewarded with a place on the 30-man shortlist for the 2016 Ballon d'Or.
However, with Real linked with a 180m euros (£160m) move for 18-year-old Monaco forward Kylian Mbappe, there have been reports that they will look to move on one of Bale, Ronaldo or Benzema.
Asked about the trio on Thursday, Zidane said: "I want everyone who is here now to stay but anything can happen right up until 31 August."
United first tried to sign Bale before he joined Tottenham from Southampton in 2007 and reignited their interest before his move to Spain four years ago.
Instead, though, the Welshman joined Real from Tottenham for a then world record fee of £85m.
He extended his contract in October 2016, committing him to the Bernabeu club until 2022 and on improved terms reportedly worth £600,000 per week, £350,000 after tax.
Despite helping Real win three Champions League titles in four years - scoring in the 2014 final win over rivals Atletico Madrid - Bale's time in Spain has been mixed.
During his second season, he struggled with calf injuries, was jeered by some Real supporters and faced criticism from sections of the Spanish media as Carlo Ancelotti's side failed to win a trophy.

Rowe, 27, had not planned to take part in the race, which will be held over eight days in September.
But he says the opportunity to race on the streets of the Welsh capital would be "special".
"It's yet to be decided but it's on the radar and something I would like to do," Rowe told BBC Radio Wales.
"Potentially it's a once-in-a-career moment, racing a professional bike race on the home roads I grew up as a kid racing.
"It would be so special to have the home Welsh support and have my mates and my family out there."
The eight-stage event, won last year by Britain's Steve Cummings, will conclude with a 180km stage finishing in Cardiff on 10 September.
Rowe said he has already held discussions with Team Sky about the possibility of taking part in the race.
"It's all up in the air at the moment," Rowe said.
"Originally the plan was definitely not to ride it as it wasn't in the race programme.
"But once I heard it finishes in Cardiff suddenly a few phone calls were going back and forth and I'm quite interested in racing it now."
Rowe is taking part in the three-day Tour de Yorkshire, which begins in Bridlington on Friday, as he starts his preparations for this year's Tour de France.
The Welshman hopes to be selected for his third Tour de France having been part of the team that supported Team Sky colleague Chris Froome's wins in 2015 and 2016.
"The race in Yorkshire is my first race back," Rowe added.
"I'll have an altitude camp in Tenerife then I'll have the Criterium du Dauphine, which is a week-long stage race in France and after that will be the Tour de France.
"It's not guaranteed I'll ride. I'll have to perform well in the next month, six weeks to gain selection.
"But I'm quietly confident and hopefully I'll bank a place in the team and 'Froomey' can do the business again."
A man has died after the car he was driving crashed during a police chase in Lancashire.
[NEXT_CONCEPT]
Speculation linking Gareth Bale with a move away from Real Madrid is "ridiculous" and "stupid", according to the Wales forward's agent.
[NEXT_CONCEPT]
Team Sky's Luke Rowe is hoping to take part in this year's Tour of Britain, which will finish in his home city of Cardiff.