A snow making system, suitable for making man-made snow for ski-runs or ski-slopes, uses a snow making machine, where ice is converted into snow-like particles and directed in an upwardly-directed stream, into which a spray or mist of water droplets is introduced. The snow-like particles operate as nucleating agents for the water droplets to convert the droplets into flakes of snow. The flakes of snow may be introduced into the snow making machine, converted into snow-like particles and be incorporated into the stream to produce further flakes of snow. The flakes of snow can be “recycled” to the snow making machine until the desired quantity of snow has been produced. The system enables snow to be made at ambient air temperatures just above, or below, the freezing point of water.