Officers attempted to pull the car over on the A59 at around 23.45pm on May 17.
The car was eventually brought to a stop on Blackgate Lane in Tarleton at around 1am by a police stinger that blew out three of the car's tyres, say police.
A woman was arrested at the scene on suspicion of being carried in a stolen vehicle and a man made off through gardens.
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A spokesman for Lancashire Police said: "A car failed to stop for a patrol on the A59 late last night and we started to plan a tactical operation.
"We set up a stinger which stopped the car on Blackgate Lane and a woman was arrested.
"One man made off through gardens and the police helicopter and dogs assisted with a search.
"The man has not been apprehended."
Anybody with information can contact the police on 101.