In this paper, we obtain random coupled coincidence point theorems  in an ordered metric space X for a pair of random mappings    and  under certain contractive conditions which are commutative under generalized altering distance function in five variables. Random coupled fixed point results (as corollaries) under certain contractive conditions will be excerpted from our theorems. We also support our result by an example.

coupled random coincidence, mixed g-monotone mapping, random mapping.