Nick Love's remake of the '70s TV show, which stars Ray Winstone and Ben Drew as two violent detectives, holds off animated movie ParaNorman to secure the number one slot.
Anna Karenina holds its place at number three, while Lawless slips two places to fourth spot. Last week's chart-topper Dredd drops four places to round out the top five.
Meryl Streep and Tommy Lee Jones drama Hope Springs is the only other new release to make the top ten, debuting at number six with £728,689.
The UK box office top ten in full:
1. (-) The Sweeney - £1,545,294
2. (-) ParaNorman - £1,393,123
3. (3) Anna Karenina - £813,395
4. (2) Lawless - £790,378
5. (1) Dredd - £769,381
6. (-) Hope Springs - £728,689
7. (5) Brave - £584,321
8. (4) Total Recall - £472,232
9. (6) The Possession - £346,642
10. (7) Ted - £317,035
Watch Ray Winstone and Ben Drew discuss The Sweeney with Digital Spy below: