The 'Video Games' singer shifted over 117,000 copies of her much-anticipated LP, outselling the rest of the top five combined and making it the fastest-selling record of 2012 so far.
The legendary Leonard Cohen finishes in second place with his 12th studio album Old Ideas, which is the 77-year-old's first release in eight years, while previous number one + by Ed Sheeran slips to third.
Coldplay's Mylo Xyloto drops three to five in its 19th week of release, as singles chart champion David Guetta scrambles seven to nine with Nothing But The Beat and Bruno Mars is down from four to ten with Doo Wops & Hooligans.
Elsewhere, Chris Isaak's Beyond The Sun manages just one week in the top five after falling six to 12 and Ceremonials by Florence + The Machine also drops out of the best-sellers, at 13 from last Sunday's ten.
However, Christina Perri zooms in the opposite direction with her debut album Lovestrong, which leaps a mighty 22 places to 15. Just behind are The Vaccines, who plummet eight to 16 with What Did You Expect From The Vaccines, and Snow Patrol's Fallen Empires, up 11 entries at 17.
Closing the upper half of the Top 40 are Drake, who is up six to 19 with Take Care, and Adele, whose 19 album climbs to 20 in its 151st week of release.
Source: Official Charts Company
> This week's singles chart
Watch the video for 'Born To Die' from Lana Del Rey's number one album Born To Die below:
View the latest Official Top 100 Album Chart