Terahertz imaging technology has the advantages of perspective, safety and high spectral resolution, and has a broad applications prospect. Since terahertz detector arrays have low technological maturity and are of high cost, terahertz imaging techniques based on single-point scanning have been prevailing for many years, and have problems such as complex systems and long imaging time. Recently, computational imaging techniques have emerged as exciting approaches for achieving efficient terahertz single-pixel imaging. The basic principles, the experimental realizations, and application prospects of terahertz single-pixel computational imaging techniques were described. Some key challenges and potential solutions were discussed.