An X-ray CT imaging apparatus includes an X-ray generating section, an X-ray image capturing section, a supporting section, a holding section, a rotation driving section, and an X-ray controlling section, wherein the X-ray generating section generates an X-ray cone beam, the X-ray image capturing section detects the X-ray cone beam having passed through an object, the supporting section supports the X-ray generating section and the X-ray image capturing section with the object positioned therebetween, the holding section holds the object, the rotation driving section rotates the supporting section relatively to the object, and the X-ray controlling section alleviates an influence of a high X-ray absorption region, present inside the object, in the X-ray image capturing section by means of a control model formed based upon information on the high X-ray absorption region.