We investigate the Higgs sector of a non-linear supersymmetric standar
d model at LEP 1 and LEP 2, as well as at future linear e(+)e(-) colli
ders with root s = 500, 1000, and 2000 GeV. The LEP 1 data do not put
any constraints on the parameters of the model, and allow a massless H
iggs boson in particular. For LEP 2, there are remarkable differences
between the Higgs productions at root s = 175 GeV on the one hand and
that at root s = 192 GeV and 205 GeV on the other hand. The case for r
oot s = 175 GeV is similar to LEP 1, whereas those for root s = 192 Ge
V and 205 GeV will be able to give experimental constraints on the par
ameters. Finally the e(+)e(-) colliders with root s = 500, 1000, and 2
000 GeV are most probably able to test the model conclusively.