It is not yet known what goods the thieves have taken.
Police were called shortly after 9pm on (August 20).
A spokesperson said after the raid on Monday evening: "We had quite a few calls about a ram-raid ongoing. It would appear there were three cars being used: a Nissan Qashqai, which is still in the shop, a BMW X1, which we believe has been used to leave the scene, and a red car."
It is third time the Vicar Lane clothes store has been targeted in just nine months.
The high-end fashion store was first targeted back in December 2017, when masked men appeared to target the city centre location.
For the latest crime news and incidents from around Leeds - join our dedicated Facebook group by clicking here.