A bicycle suspension control apparatus is basically provided with a power supply sensor and a controller. The power supply sensor detects a power level of a power supply being supplied from the power supply to electrically adjustable front and rear suspensions. The controller is configured to selectively change at least one electrically adjustable suspension parameter of each of the front and rear suspensions. The controller receives a power level signal from the power supply sensor. The controller prohibits changing the electrically adjustable suspension parameter of the rear suspension upon the power supply sensor detecting the power level of the power supply being below a first prescribed power level. The controller permits changing the electrically adjustable suspension parameter of the front suspension upon the power supply sensor detecting the power level of the power supply being below the first prescribed power level.