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In this paper, we consider the degenerate and singular oscillatory integraloperator with a singular kernel which is not a Calder\'{o}n-Zygmund kernel andsatisfies suitable size and derivative conditions related to a real parameter$\mu$. For any given homogeneous polynomial phases, except monomial phases, ofdegreee $n$, we give the range of $p$ for which the sharp decay rate$-\frac{1-\mu}{n}$ on $L^2$ spaces can be preserved on $L^p$ spaces.

Sharp $L^p$ decay estimates for degenerate and singular oscillatory integral operators: Homogeneous polynomial phases