In this paper, two new concept of weakly (ψ, S, C)-contractive map- pings and generalized weakly (ψ, S, C)-contractive mappings for a pair of maps in ordered metric space are designed and then establish common fixed point results on ordered complete metric spaces. To demonstrate our results, an example is given. At the same time as applications of the presented theorems, we get hold of common fixed point results for generalized contraction of integral type and we prove an existence theorem for solutions of a system of integral equations. © 2014 by the Mathematical Association of Thailand. All rights reserved.