The 50-year-old, who has not managed a club since leaving Notts County last year, will replace Graham Kavanagh following his dismissal at the start of the month.
The Cumbrians have confirmed on their official website that Curle has signed a contract until the end of the 2015-16 campaign.
Curle, who made over 700 appearances as a player, will be joined by new assistant manager Colin West.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Port Vale | 15 | 9 | 3 | 3 | 23 | 16 | 7 | 30 |
| 2 | Walsall | 14 | 8 | 3 | 3 | 27 | 15 | 12 | 27 |
| 3 | Notts County | 15 | 7 | 6 | 2 | 23 | 13 | 10 | 27 |
| 4 | Doncaster RoversDoncaster | 15 | 8 | 3 | 4 | 21 | 17 | 4 | 27 |
| 5 | Crewe AlexandraCrewe | 14 | 7 | 4 | 3 | 17 | 13 | 4 | 25 |
| 6 | MK Dons | 15 | 7 | 3 | 5 | 24 | 17 | 7 | 24 |
| 7 | Grimsby Town | 15 | 8 | 0 | 7 | 19 | 25 | -6 | 24 |
| 8 | Gillingham | 15 | 7 | 2 | 6 | 16 | 12 | 4 | 23 |
| 9 | Chesterfield | 15 | 5 | 7 | 3 | 28 | 18 | 10 | 22 |
| 10 | Bradford CityBradford | 15 | 6 | 4 | 5 | 20 | 16 | 4 | 22 |
| 11 | BarrowBarrow | 15 | 6 | 4 | 5 | 16 | 12 | 4 | 22 |
| 12 | Fleetwood TownFleetwood | 14 | 5 | 6 | 3 | 20 | 15 | 5 | 21 |
| 13 | Salford City | 15 | 5 | 5 | 5 | 14 | 17 | -3 | 20 |
| 14 | AFC Wimbledon | 12 | 6 | 1 | 5 | 18 | 10 | 8 | 19 |
| 15 | Newport CountyNewport | 15 | 6 | 1 | 8 | 19 | 26 | -7 | 19 |
| 16 | Cheltenham TownCheltenham | 15 | 5 | 3 | 7 | 19 | 22 | -3 | 18 |
| 17 | Tranmere RoversTranmere | 14 | 4 | 5 | 5 | 10 | 17 | -7 | 17 |
| 18 | Accrington StanleyAccrington | 14 | 4 | 4 | 6 | 18 | 22 | -4 | 16 |
| 19 | Bromley | 14 | 3 | 6 | 5 | 16 | 18 | -2 | 15 |
| 20 | Harrogate TownHarrogate | 15 | 4 | 3 | 8 | 12 | 21 | -9 | 15 |
| 21 | Colchester UnitedColchester | 14 | 2 | 7 | 5 | 17 | 21 | -4 | 13 |
| 22 | Swindon TownSwindon | 15 | 2 | 6 | 7 | 16 | 23 | -7 | 12 |
| 23 | Carlisle UnitedCarlisle | 15 | 3 | 2 | 10 | 13 | 28 | -15 | 11 |
| 24 | Morecambe | 15 | 2 | 4 | 9 | 14 | 26 | -12 | 10 |
| > League Two Full Table | |||||||||
