  Understanding the mechanism of electroweak symmetry breaking and the origin
of boson and fermion masses is among the most pressing questions raised in
contemporary particle physics. If these issues involve one (several) Higgs
boson(s), a precise measurement of all its (their) properties will be of prime
importance. Among those, the Higgs coupling to matter fermions (the Yukawa
coupling). At a Linear Collider, the process e+e- -> ttH will allow in
principle a direct measurement of the top-Higgs Yukawa coupling. We present a
realistic feasibility study of the measurement in the context of the TESLA
collider. Four channels are studied and the analysis is repeated for several
Higgs mass values within the range 120 GeV - 200 GeV.
