The game also manages to go one better than the last game in the Battlefield series, Battlefield 4, which managed second place when it debuted in November 2013.
Another new release takes second this week, with Final Fantasy Type-0 HD helping to knock down Grand Theft Auto V down to third.
Dying Light drops down two places to fourth, with FIFA 15 down to fifth, despite an increase in sales from last week.
Wii-U exclusive Mario Party 10 enters the chart in sixth, and claims the second highest week one performance in the series, beaten only by Mario Party 8.
The fourth new entry is in seventh, with the retail version of Resident Evil: Revelations 2, as Call of Duty: Advanced Warfare drops to eighth, but like FIFA it managed to beat its sales from last week.
Minecraft rounds off the Top 10 this week, with the Xbox Edition in ninth and the PlayStation Edition in 10th.
Elsewhere there are mixed fortunes for other games. Disney Infinity 2.0 is helped up six places to 11th thanks to retailer promotions, and Halo: The Master Chief Collection gets a sales boost of 80% according to Chart Track thanks to a new hardware bundle to propel it up 14 places to 13th.
On the other side of the coin are two of last weeks’ new entries, with DMC: Definitive Edition down 20 places to 25th this week, and Zombie Army Trilogy down 18 spots to 27th.
The UK All Formats Chart Top 10 (Week ending 21st March 2015) is as follows:
1. (N) Battlefield: Hardline
2. (N) Final Fantasy Type-0 HD
3. (1) Grand Theft Auto V
4. (2) Dying Light
5. (3) FIFA 15
6. (N) Mario Party 10
7. (N) Resident Evil: Revelations 2
8. (6) Call of Duty: Advanced Warfare
9. (4) Minecraft: Xbox Edition
10. (7) Minecraft: PlayStation Edition
You can view the full Top 40 here.
Next week we have Bloodborne enter the charts, and will set its sights on first place, but can expect competition from Borderlands: The Handsome Collection.