Structural integrity power was the power used to help maintain structural integrity of a starship.
In 2366, a D'deridex-class Romulan warbird attacked the USS Enterprise-D which caused a seventy percent loss to deflector shields. To assist with full shield restoration, Lieutenant Geordi La Forge ordered the ship's computer to reconfigure structural integrity power to feed the inner deflector grid by taking some power from the structural integrity field. The computer was unable to comply because it would have compromised operational safety limits. La Forge used an authorization code to override the safety limits and rerouted the structural integrity power supply. (TNG: "Tin Man")