Abstract: The invention provides an elastomer-made push button switch covering member having a dome-like configuration integrally composed of a base portion, a top portion and a riser portion connecting the base portion and the top portion. By virtue of the specific elastic properties of the elastomer with a Shore D hardness of at least 35 or, preferably, in the range from 35 to 60 and a rebound of at least 40%, the covering member can give the operator's finger tip a very definite and reliable feeling of clicking touch in pushing different from or superior to conventional rubber-made push button switch covering members.