An X-ray CT apparatus is provided which can be suppressed or eliminated of aliasing occurrence in the R-R scheme. The X-ray CT apparatus has a reconstructing device for processing the collected data on each view to thereby obtain projection data and making a backprojection operation on the projection data to thereby reconstruct an image. In the reconstructing device, when the X-ray detector element closest to a rotation center of the detector system determines that an X-ray path for detecting the X-ray irradiated is in a position deviated by a sampling offset (first value) from the rotation center, projection data of the X-ray detector element at least in a vicinity of the rotation center upon the backprojection operation is backprojected to a position deviated by a backprojection offset (second value: different from the first value) from the rotation center. Namely, in the case projection data has a deviation from a desired alignment state, backprojection is made to a suitably offset position correspondingly to the misalignment state without backprojection as per the projection path, thus achieving aliasing suppression and resolving power maintenance.