The 29-year-old left the Sky Blues by mutual consent on Friday after four years with the club.
Bell becomes manager Chris Kiwomya's fifth signing of the summer.
A statement on Notts County's official website read: "Everyone at Meadow Lane would like to welcome David to the club ahead of the new campaign."
Bell has made 353 career appearances, scoring 24 goals in the process.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Port Vale | 16 | 10 | 3 | 3 | 24 | 16 | 8 | 33 |
| 2 | Crewe AlexandraCrewe | 15 | 8 | 4 | 3 | 19 | 13 | 6 | 28 |
| 3 | Doncaster RoversDoncaster | 16 | 8 | 4 | 4 | 22 | 18 | 4 | 28 |
| 4 | Walsall | 14 | 8 | 3 | 3 | 27 | 15 | 12 | 27 |
| 5 | MK Dons | 16 | 8 | 3 | 5 | 27 | 19 | 8 | 27 |
| 6 | Notts County | 16 | 7 | 6 | 3 | 23 | 15 | 8 | 27 |
| 7 | Grimsby Town | 16 | 8 | 1 | 7 | 19 | 25 | -6 | 25 |
| 8 | Bradford CityBradford | 16 | 6 | 5 | 5 | 21 | 17 | 4 | 23 |
| 9 | Gillingham | 15 | 7 | 2 | 6 | 16 | 12 | 4 | 23 |
| 10 | AFC Wimbledon | 13 | 7 | 1 | 5 | 21 | 11 | 10 | 22 |
| 11 | Chesterfield | 16 | 5 | 7 | 4 | 29 | 20 | 9 | 22 |
| 12 | BarrowBarrow | 16 | 6 | 4 | 6 | 17 | 15 | 2 | 22 |
| 13 | Fleetwood TownFleetwood | 14 | 5 | 6 | 3 | 20 | 15 | 5 | 21 |
| 14 | Salford City | 16 | 5 | 6 | 5 | 15 | 18 | -3 | 21 |
| 15 | Newport CountyNewport | 16 | 6 | 2 | 8 | 19 | 26 | -7 | 20 |
| 16 | Cheltenham TownCheltenham | 16 | 5 | 3 | 8 | 21 | 25 | -4 | 18 |
| 17 | Harrogate TownHarrogate | 16 | 5 | 3 | 8 | 14 | 22 | -8 | 18 |
| 18 | Accrington StanleyAccrington | 15 | 4 | 5 | 6 | 20 | 24 | -4 | 17 |
| 19 | Tranmere RoversTranmere | 14 | 4 | 5 | 5 | 10 | 17 | -7 | 17 |
| 20 | Bromley | 15 | 3 | 7 | 5 | 17 | 19 | -2 | 16 |
| 21 | Colchester UnitedColchester | 15 | 2 | 8 | 5 | 18 | 22 | -4 | 14 |
| 22 | Swindon TownSwindon | 16 | 2 | 7 | 7 | 18 | 25 | -7 | 13 |
| 23 | Carlisle UnitedCarlisle | 16 | 3 | 3 | 10 | 14 | 29 | -15 | 12 |
| 24 | Morecambe | 16 | 2 | 4 | 10 | 14 | 27 | -13 | 10 |
| > League Two Full Table | |||||||||
