A stationary CT apparatus and a method of controlling the same. The stationary CT apparatus includes: a scanning passage; a stationary carbon nanotube X-ray source arranged around the scanning passage and comprising a plurality of ray emission focal spots; and a plurality of stationary detector modules arranged around the scanning passage and disposed opposite the X-ray source. At least some of the plurality of detector modules are arranged in a substantially L shape or a substantially Π shape when viewed in a plane intersecting the scanning passage. Reconstruction of the CT apparatus without a rotary gantry is achieved and special substances in an object under inspection is identified by optimizing design of the carbon nanotube X-ray source and the detector device. The invention ensures that the stationary gantry type CT system has a small size and a high accuracy and is particularly suitable for safety inspection of baggage.