The technology of measuring high-speed optical pulse sequence is under fast development for meeting the increasing requirement in optical communication, characterization of optical pulse and other fields. We propose a chirped pulse sampling technology to measure the terahertz (THz) pulse sequence. The principle and detection resolution of this high-speed sampling technology have been discussed and analyzed. The acquisition could measure a THz sequence containing hundreds of pulses at a single-shot. With this method, THz sequence could be measured by low-speed sampling devices.