Terahertz computed tomography makes use of the penetrability of terahertz radiation and obtains three-dimensional(3-D) object projection data. In this paper, continuous-wave terahertz computed tomography using a pyroelectric array detector is presented. Compared with scanning terahertz computed tomography, a pyroelectric array detector can obtain a large quantity of projection data in a short time. To obtain a high precision two-dimensional(2-D) projection data, the two-dimensional projection data is propagated by angular spectrum algorithm; then the diffraction effects are suppressed on external sample. Two-dimensional cross-sectional images and three-dimensional images of the internal structure of the object are obtained by the filtered back projection algorithm. Further, the feasibility of terahertz computed tomography is explored in non-destructive testing and security testing.