The objective of this paper is to introduce the notion of a $$D^{*}$$ -cone metric space and then to establish the existence of common fixed points of mappings satisfying Perov type contraction conditions in the framework of such spaces. Also some convergence properties of sequences in $$D^{*}$$ -cone metric space are studied without imposing the condition of normality on a cone. Our result complement, extend and generalize a number of comparable results in the existing literature.