The cross section for the reaction $e^+e^- to tbar{t} H$ depends sensitively on the top quark Yukwawa coupling $lambda_t$. We calculate the rate for $tbar{t}H$ production, followed by the decay $Hto bbar{b}$, for a Standard Model Higgs boson with 100 < m_H <130 GeV. We interface with ISAJET to generate QCD radiation, hadronization and particle decays. We also calculate the dominant $tbar{t}bbar{b}$ backgrounds from electroweak and QCD processes. We consider both semileptonic and fully hadronic decays of the $tbar{t}$ system. In our analysis, we attempt full reconstruction of the top quark and W boson masses in the generated events. The invariant mass of the remaining b-jets should show evidence of Higgs boson production. We estimate the accuracy with which $lambda_t$ can be measured at a linear e^+e^- collider. Our results, including statistical but not systematic errors, show that the top quark Yukawa coupling can be measured to 6-8 % accuracy with 1000 fb^{-1} at $E_{CM}=1 TeV$, assuming 100 % efficiency for b-jet tagging. The accuracy of the measurement drops to 17-22 % if only a 60 % efficiency for b-tagging is achieved.
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