An electric connecting apparatus provides electrical connection of two electric components by fitting a plurality of male terminals into mating female terminals. If the male terminals have different lengths, for example, the male terminals are fitted into the female terminals in an order of a longer one to a shorter one. In this case, the inserting force that is needed for the entire array of male terminals at the time the two electric components are connected together does not reach a peak at one time, but the inserting forces for the individual male terminals reach peaks one after another. This can permit the two electric components to be connected together with a less labor.