The 32-year-old, who joined Vale in 2009, had been due to become a free agent at the end of the month.
"The club is delighted to have secured Adam's services for the new season," manager Rob Page told the club's official website.
"He's an experienced and reliable member of the squad and has a real connection with the club which is always important."
Yates has made 234 appearances for the Vale Park-based outfit.
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 | |||||||||
