We report on measurements of the linewidth of the emitted radiation from Josephson Flux Row Oscillators (FFOs). Frequency and phase locking to an external 10 MHz reference oscillator an demonstrated experimentally in the frequency range 270-440 GHz. A linewidth as low as 1 Hz (as determined by the resolution bandwidth of the spectrum analyzer) has been measured. This linewidth is far below the fundamental level given by shot and thermal noise of the free-running tunnel junction. The damping mechanisms are discussed and related to the self-excitation Of quasiparticles. Narrow linewidth, wide-band tunability and low noise are important for radio astronomy and air- and space-borne spectroscopy for atmospheric research and environmental monitoring. (C) 2000 Elsevier Science B.V. All rights reserved.