The invention provides a synthesis method for an amphoteric ion copolymer for a well drilling fluid, wherein the synthesis method comprises the steps: respectively weighing N,N-dimethylallylamine and 1,3-propanesultone with the molar ratio of 2:1 to 8:1, adding 1,3-propanesultone to N,N-dimethylallylamine, carrying out a reaction for 0.5-4 h at the temperature of 10-60 DEG C, finally, filtering, extracting, and drying to obtain N,N-dimethylallyl propanesulfonate (DAPS); adding the obtained DAPS and AM into a solvent, dissolving, then transferring into a reactor, then introducing N2, carrying out a deoxygenation reaction, next adding an initiator, carrying out a reaction to obtain a colloidal solid, and precipitating with acetone to obtain a white precipitate; and drying the obtained precipitate, and then crushing to obtain the amphoteric ion copolymer. The copolymer obtained by the method can sustain a temperature as high as 180 DEG C, resists NaCl saturation, resists CaCl2 saturation, has the filtrate loss reduction amount of a polymer decreased along with the increase of the salt content, and besides has the advantages of excellent shale inhibition performance.