The 28-year-old midfielder has agreed a three-year deal at Turf Moor.
Boyd joined Hull on a permanent basis in May 2013 after helping the club to win promotion to the Premier League during a loan spell at the KC Stadium.
The Scotland international made 39 appearances for the Tigers last season in all competitions.
Boyd has become Burnley's eighth signing of the summer transfer window.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Manchester CityMan City | 37 | 27 | 7 | 3 | 93 | 33 | 60 | 88 |
| 2 | Arsenal | 37 | 27 | 5 | 5 | 89 | 28 | 61 | 86 |
| 3 | Liverpool | 37 | 23 | 10 | 4 | 84 | 41 | 43 | 79 |
| 4 | Aston Villa | 37 | 20 | 8 | 9 | 76 | 56 | 20 | 68 |
| 5 | Tottenham HotspurSpurs | 37 | 19 | 6 | 12 | 71 | 61 | 10 | 63 |
| 6 | Newcastle UnitedNewcastle | 36 | 17 | 6 | 13 | 79 | 57 | 22 | 57 |
| 7 | Chelsea | 36 | 16 | 9 | 11 | 73 | 61 | 12 | 57 |
| 8 | Manchester UnitedMan Utd | 36 | 16 | 6 | 14 | 52 | 56 | -4 | 54 |
| 9 | West Ham UnitedWest Ham | 37 | 14 | 10 | 13 | 59 | 71 | -12 | 52 |
| 10 | Brighton & Hove AlbionBrighton | 36 | 12 | 12 | 12 | 54 | 58 | -4 | 48 |
| 11 | Bournemouth | 37 | 13 | 9 | 15 | 53 | 65 | -12 | 48 |
| 12 | Crystal Palace | 37 | 12 | 10 | 15 | 52 | 58 | -6 | 46 |
| 13 | Wolverhampton WanderersWolves | 37 | 13 | 7 | 17 | 50 | 63 | -13 | 46 |
| 14 | Fulham | 37 | 12 | 8 | 17 | 51 | 59 | -8 | 44 |
| 15 | Everton | 37 | 13 | 9 | 15 | 39 | 49 | -10 | 40 |
| 16 | Brentford | 37 | 10 | 9 | 18 | 54 | 61 | -7 | 39 |
| 17 | Nottingham ForestNott'm Forest | 37 | 8 | 9 | 20 | 47 | 66 | -19 | 29 |
| 18 | Luton TownLuton | 37 | 6 | 8 | 23 | 50 | 81 | -31 | 26 |
| R | Burnley | 37 | 5 | 9 | 23 | 40 | 76 | -36 | 24 |
| R | Sheffield UnitedSheff Utd | 37 | 3 | 7 | 27 | 35 | 101 | -66 | 16 |
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