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Task Force 31 was a Starfleet task force extant at least in the 2290s. It was part of the Starfleet Seventh Fleet.

In 2291, the task force consisted of USS Tai Shan, USS Challenger, USS Intrepid II and USS Thagard. (Star Trek: Challenger Chronicles, Star Trek: Shadowstar Station)

United Federation of Planets fleets and task forces
Federation fleets: 1st - 2nd - 3rd - 4th - 5th - 6th - 7th - 8th - 9th - 10th - 11th - 12th - 13th - 14th - 15th - 16th - 17th - 19th - 20th - 21st - 22nd - 27th - 29th - 30th - 31st - 33rd - 37th - 44th - Delta Fleet
Battle Groups: Omega Confrontation Groups: Aleph Perimeter Action Groups: PA 5 - PA 6 - PA 13 - PA 21 - PA 31 - PA 38 - PA 41 - PA 44 - PA 52 Pursuit Groups: 1st Pursuit - 1st Andorian Pursuit - 2nd Pursuit - 2nd Andorian Pursuit - 3rd Pursuit - 4th Pursuit - 5th Pursuit - 6th Pursuit - 7th Pursuit - 8th Pursuit - 9th Pursuit - 10th Pursuit - 11th Pursuit - 12th Pursuit - 13th Pursuit
Assault Squadrons: 47th Assault Sqdn Attack Squadrons: 23rd Attack Sqdn - 44th Attack Sqdn Strike Squadrons: 11th Strike Sqdn - 28th Strike Sqdn - 32nd Strike Sqdn
Task Forces: TF1 - TF2 - TF3 - TF4 - TF7 - TF8 - TF9 - TF10 - TF11 - TF13 - TF16 - TF17 - TF18 - TF24 - TF31 - TF45 - TF51 - TF52 - TF53 - TF61 - TF62 - TF63 - TF71 - TF72 - TF73 - TF74 - TF75 - TF76 - TF76A - TF76B - TF77 - TF84 Special - TF126 - TF 143.34.3b - TF173 - TF174 - TF175 - TF Accord - TF Betawi - TF Constitution - TF K - Gamma Force
Tactical Wings: 96th TW - 215th TW - 219th TW - 236th TW - 352nd TW - 473rd TW - 523rd TW - 605th TW - 628th TW - 777th TW - 856th TW
Tactical Fighter Wings: 1356th TFW