The simulation of plane impinging jets using the Lagrangian technique of smooth particle hydrodynamics is presented. In Section 1 the impingement of a plane jet onto a stationary surface is considered for Reynolds numbers 800, 4000, 8000 and Froude number 4. For each case, the height of the associated streams is measured and compared with both experimental and theoretical results. The agreement between these results is found to be close for most impingement angles. In the second section, impingement onto a moving surface is considered for Reynolds numbers of 50 and 800 and Froude numbers of 1 and 4. The preliminary results show that the moving surface can lead to some spatial height variation in at least one of the streams.