We have determined the strong coupling alpha(s) from measurements of j
et rates in hadronic decays of Z0 bosons collected by the SLD experime
nt at SLAC. Using six collinear and infrared safe jet algorithms we co
mpared our data with the predictions of QCD calculated up to second or
der in perturbation theory, and also with resummed calculations. We fi
nd alpha(s)(M(Z)2)=0.118+/-0.002(stat)+/-0.003(syst) +/-0.010 (theory)
, where the dominant uncertainty is from uncalculated higher order con
tributions.