How many type of electric circuit?

There are basically two types of circuits: parallel and series. In a series circuit, current flows in one continuous straight path. In a parallel circuit, the current has more than one path to follow.

Answer

There are four categories of circuit, not two. These are 'series', 'parallel', 'series-parallel', and 'complex'. A 'complex circuit' describes any circuit not falling into the first three categories.