The noise near 4 MHz of a cryogenically cooled GaAs metal semiconductor field effect transitor (MESFET) has been measured. The input noise current isiN=1.1±0.2×10−14A/(Hz)1/2and the additive voltage noise iseN=1.2±0.4×10−9V/(Hz)1/2, which gives a noise temperatureTN=0.5 K.