In recent years, single-atom alloy catalysts (SAAs) have received much attention due to the combination of structural features of both single-atom and alloy catalysts, as well as their efficient catalytic activity, high selectivity, and high stability in various chemical reactions. In this work, we designed a series of Cu-based SAAs by doping isolated 3d transition metal (TM 1 ) atoms on the surface of Cu(111) (TM 1 = Fe, Co, Ru, Rh, Os and Ir), in which Ir 1 /Cu(111) SAAs are considered to be the most stable among 3D-series SAAs due to their optimal binding energy (E b ). The density of states of SAAs have been systematically investigated to further discuss structural properties. Based on density functional theory calculations, the activity and selectivity of Ir 1 /Cu(111) SAAs are investigated for electrocatalytic CO 2 reduction reaction (CO 2 RR). The initial hydrogenation of CO 2 on Ir 1 /Cu(111) SAAs can form *CO intermediates, which will be further to CH 4 production by the pathway of *CO → *CHO → *CHOH → *CH 2 OH → *CH 2 → *CH 3 → CH 4 . This study provides theoretical insights for the rational design of selective Cu-based monatomic alloy catalysts.