Operation control system for air conditioner and operation control device for air conditioner

An operation control system (1) for an air conditioner is provided with an air conditioner (11), a first portable terminal (13A), a second portable terminal (13B), and a server (12). The server (12) is provided with: a relay unit (23) that receives an operation request from the first portable terminal (13A) and the second portable terminal (13B) and relays the received operation request to the air conditioner (11); and an exclusive time setting unit (24) that sets, as an exclusive time, the time from the time at which the relay unit (23) has received the operation request until a predetermined fixed period has elapsed. The first portable terminal (13A) and the second portable terminal (13B) each have: a position information acquisition unit (29); an exclusive time acquisition unit (30) that acquires an exclusive time when the position information acquired by the position information acquisition unit (29) has reached the control region from the outside of the control region; and a transmission unit (28) that t