In this paper, we give some coupled fixed point results in the framework of C*- algebra-valued b-metric spaces and in particular in the setting of C* algebra-valued metric spaces. These results, with shorter proofs, generalize and improve other theorems recently introduced. We have used a method of reducing coupled fixed point results to the respective ones for mappings with one variable in the framework of b-metric spaces. Finally, two examples are given to support our theoretical work.