In this work, we propose to search for the exotic doubly charmed meson T_{cc}^+ and its analog T_{ccbar{s}}^+ in B_c^+ decays, which provide a good environment for the formation of the exotic state containing double charm quarks. Within the molecular scheme, the production of T_{cc}^+ and T_{ccbar{s}}^+ through various rescattering processes with different intermediate states are investigated. For the moderate values of model parameters, the branching ratios of B_c^+ decaying into T_{cc}^+ bar{D}^{0}, T_{cc}^+ bar{D}^{*0}, T_{ccbar{s}}^+ bar{D}^{0} and T_{ccbar{s}}^+ bar{D}^{*0} are estimated to be of the order of 10^{-7}, 10^{-5}, 10^{-6} and 10^{-4}, respectively, which may be tested by future experiments.