In order to accurately measure the fusion reaction-rate of inertial confinement fusion experiments, a system has been developed for fusion reaction history measurement with high temporal resolution which is better than 40 ps. The system is composed of plastic scintillator and nose cone, an optical system and streak camera. The thin piece of scintillator material acts as a neutron-to-light converter. The optical system images light from the scintillator surface to camera for recording.The camera simultaneously records an optical fiducial pulse which allows the camera time base to be calibrated relative to the incident laser. This system has been applied on the SG-Ⅲ prototype. Fusion reaction history and fusion reaction bang time have been measured for deuterium-tritium filled targets with netrons yields about 1010. Fusion reaction bang time can be measured with accuracy as low as 15 ps.