A location positioning apparatus, a location positioning method, and a location positioning program are provided for shortening the wait time necessary for positioning, by changing the timeout period in the positioning measurement according to the accuracy of the general location, when the current location cannot be positioned. A general location error determining unit (22e) determines an error radius of the general location, a timeout period setting unit (22g) sets timeout periods T1 to T3 and Tmax in the positioning measurement, according to the error radius determined by the general location error determining unit (22e). A location positioning process timeout instructing unit (22h) time outs the location positioning process being performed by a location positioning processing unit (22d), when a number of visible satellites S is smaller than a prescribed number at each of the timeout periods T1 to T3, or when the timeout period Tmax elapses.