A crystalline porous bipyridine‐based Bpy‐COF with a high BET surface area (1864 m2 g−1) and uniform mesopore (4.0 nm) is successfully synthesized from 1,3,5‐tris‐(4’‐formyl‐biphenyl‐4‐yl)triazine and 5,5'‐diamino‐2,2'‐bipyridine via a solvothermal method. After Cu(I)‐loading, the resultant Cu(I)‐Bpy‐COF remained the ordered porous structure with evenly distributed Cu(I) ions at a single‐atom level. Using Cu(I)‐Bpy‐COF as a heterogeneous catalyst, high conversions for cycloaddition reactions are achieved within a short time (40 min) at 25 °C in water medium. Moreover, Cu(I)‐Bpy‐COF proves to be applicable for aromatic and aliphatic azides and alkynes bearing various substituents such as ester, hydroxyl, amido, pyridyl, thienyl, bulky triphenylamine, fluorine, and trifluoromethyl groups. The high conversions remain almost constant after five cycles. Additionally, the antiepileptic drug (rufinamide) is successfully prepared by a simple one‐step reaction using Cu(I)‐Bpy‐COF, proving its practical feasibility for pharmaceutical synthesis.