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Beta decays of the isotones with N=126 are studied by shell modelcalculations taking into account both the Gamow-Teller (GT) and first-forbidden(FF) transitions. The FF transitions are found to be important to reduce thehalf-lives, by nearly twice to several times, from those by the GTcontributions only. Possible implications of the short half-lives of thewaiting point nuclei on the r-process nucleosynthesis during the supernovaexplosions are discussed. A slight shift of the third peak of the elementabundances in the r-process toward higher mass region is found.

Beta Decays of Isotones with Neutron Magic Number of N=126 and R-process Nucleosynthesis