The weak&pgr;−-decay of&Lgr;&Lgr;4Hare theoretically analyzed with the recent experimental data by BNL-E906. The two-body&pgr;−-decay width of&Lgr;&Lgr;4His calculated to be 0.69&Ggr;&Lgr;,and its branching ratio to the total&pgr;−decay is about 25&percent;. The branching ratio of decay channels accompanied with a &Lgr; particle to the total&pgr;−-decay is about 43&percent;. The calculated&pgr;−spectrum of&Lgr;&Lgr;4Hhas a broad peak around 100 MeV/cin nuclear continuum region, whose value is inconsistent with the experimental results of a peak structure around 103 MeV/c. ©2001 American Institute of Physics.