In this work, we propose to search for the exotic doubly charmed meson $$T_{cc}^+$$
T
cc
+
and its analog $$T_{cc\bar{s}}^+$$
T
c
c
s
¯
+
in $$B_c^+$$
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 $$T_{cc}^+$$
T
cc
+
and $$T_{cc\bar{s}}^+$$
T
c
c
s
¯
+
through various rescattering processes with different intermediate states are investigated. For the moderate values of model parameters, the branching ratios of $$B_c^+$$
B
c
+
decaying into $$T_{cc}^+ \bar{D}^{0}$$
T
cc
+
D
¯
0
, $$T_{cc}^+ \bar{D}^{*0}$$
T
cc
+
D
¯
∗
0
, $$T_{cc\bar{s}}^+ \bar{D}^{0}$$
T
c
c
s
¯
+
D
¯
0
and $$T_{cc\bar{s}}^+ \bar{D}^{*0}$$
T
c
c
s
¯
+
D
¯
∗
0
are estimated to be of the order of $$10^{-7}$$
10
-
7
, $$10^{-5}$$
10
-
5
, $$10^{-6}$$
10
-
6
and $$10^{-4}$$
10
-
4
, respectively, which may be tested by future experiments.