By replacing the alkali element in the newly discovered K2Mo3As3 superconductor, we successfully synthesized ternary molybdenum pnictides Rb2Mo3As3 and Cs2Mo3As3 through solid state reaction method. Powder X-ray diffraction analysis reveals the same quasi-one-dimensional (Q1D) hexagonal crystal structure and space group of P-6m2 (No. 187) as K2Mo3As3. The refined lattice parameters are a = 10.432 (1) {AA}, c = 4.4615 (6) {AA} for Rb2Mo3As3 and a = 10.7405 (6) {AA}, c = 4.4654 (5) {AA} for Cs2Mo3As3. Electrical resistivity and magnetic susceptibility characterizations exhibit the occurrence of superconductivity in both compounds with the onset Tc at 10.6 K and 11.5 K for Rb2Mo3As3 and Cs2Mo3As3 respectively, which exhibit weak negative chemical pressure effect in these A2Mo3As3 (A = K, Rb, Cs) superconductors contrary to the isostructural A2Cr3As3 superconductors. More interestingly, the Cs2Mo3As3 superconductor exhibits much higher upper critical field around 60 T at zero temperature. The discovery of these MoAs/CrAs-based superconductors provide a unique platform for the study of exotic superconductivity correlated with both 3d and 4d electrons in these Q1D compounds.