A controller for controlling a timer for measuring offense limit time in a basketball game is provided, in which offense limit time is continuously displayed on an offense limit time display when game remaining time is left less than twenty-four seconds, to thereby allow players to play the basketball game and spectators to see the basketball game more dynamically as well. The controller includes: a main controller which operates according to an input signal from a microprocessor, a game time switch manipulator, or an offense limit time switch manipulator, judges whether the game remaining time is left equal to or more than twenty-four seconds, or less than twenty-four seconds, allows the input signal from the microprocessor, the game time switch manipulator, or the offense limit time switch manipulator if the game remaining time is left equal to or more than twenty-four seconds in the judgement result, and blocks the input signal from the microprocessor, the game time switch manipulator, or the offense limit time switch manipulator if the game remaining time is left less than twenty-four seconds in the judgement result; and an output terminal which interfaces with the main controller, and transfers the offense limit time to a basketball game remaining time electronic signboard on which the basketball game remaining time is continuously displayed, according to a control signal from the main controller, in the case that the game remaining time is left less than twenty-four seconds.