This review reports our recent work on developing polymer synthesis methods based on a self‐accelerating double‐strain‐promoted 1,3‐dipole‐alkyne cycloaddition (DSPDAC) click reaction. In DSPDAC, the cycloaddition of 1,3‐dipole with the first alkyne of sym‐dibenzo‐1,5‐cyclooctadiene‐3,7‐diyne (DIBOD) activates the second unreacted alkyne, which reacts with 1,3‐dipole much faster than the original alkyne of DIBOD. When using DIBOD and bis‐dipole compounds as monomer pairs, the self‐accelerating property of DSPDAC allows us to develop a stoichiometric imbalance‐promoted step‐growth polymerization method. It could produce polymers with ultrahigh molecular weight in the presence of excess DIBOD monomers. When using DIBOD to ring‐close linear polymers with 1,3‐dipole end groups, the self‐accelerating property of DSPDAC facilitates us to develop a unique bimolecular ring‐closure method. It could efficiently prepare pure cyclic polymers in the presence of excess DIBOD small linkers to linear polymer precursors.