In this paper, we introduce \(g^*p\)-closed sets in bitopological spaces. Properties of these sets are investigated and we introduce two new bitopological spaces \((i,j)\)-\(T^*p_{\frac{1}{2}}\) and \((i,j)\)-\(^*Tp_{\frac{1}{2}}\) spaces as applications. Further, we introduce and study \(g^* p\)-continuity in bitopological spaces.