In this paper we consider unbounded weighted conditional type (WCT) operators on L p-space. We provide some conditions under which WCT operators on L p-spaces are densely defined. Specifically, we obtain a dense subset of their domain. Moreover, we get that a WCT operator is continuous if and only if it is every where defined. A description of polar decomposition, spectrum, spectral radius, normality and hyponormality of WCT operators in this context are provided. Finally, we apply some results of hyperexpansive operators to WCT operators on the Hilbert space L 2 (Σ). As a consequence hyperexpansive multiplication operators are investigated