For astronomical observation at terahertz frequencies, a variety of cryogenic detector technologies are being developed to achieve background-limited observation from space, where a noise equivalent power (NEP) of less than 10 −18 W/Hz 0.5 is often required. When each photon signal is resolved in time, the requirements on NEP are reduced and 1 ns time resolution corresponds to an NEP of approximately 10 −17 W/Hz 0.5 at THz frequencies. Furthermore, fast photon counting detectors have a high dynamic range to observe bright terahertz sources such as stars and active galactic nuclei. Applications of photon counting detector are discussed for cosmic microwave background and photon counting terahertz interferometry.