of the presence of the layer of resilient and or damping material 3 whereby in the case of ball games the bouncing behaviour of the ball is affected which does not generally enhance the quality of the game the excessive resilience and energy restitution of the synthetic turf field is moreover perceived by players as being unpleasant and tiring so as to obviate these problems it is proposed according to the invention to form air chambers in the layer of resilient and or damping material 3 or between the layer of resilient and or damping material 3 and the relatively hard substrate 2 according to a first variant of the invention the air chambers 17 are formed in the upper part of the layer of resilient and or damping material 13 fig2 for this purpose recesses are formed from the top in the resilient and or damping layer 13 these recesses can take a random form for instance be of circular cross section they are preferably distributed uniformly over the surface of the synthetic turf field 11 when the resilient and or damping layer 13 consists of a mixture of rubber granules 18 and a binder the recesses can be formed after the resilient and or.