A remotely operable anchoring system for a mobile irrigation apparatus includes anchoring units mounted to irrigation towers. The anchoring units are remotely operable through a control module and have anchor members which, upon command, can be moved by the anchoring units from a retracted position to an extended position in which each anchor member penetrates and anchors itself into the soil beneath the irrigation tower. Upon command, after the danger of high wind has passed, each anchor member may be retracted from the extended position to the retracted position in preparation for future use.