The gluon momentum density xg(x, Q(2)) of the proton was extracted at
Q(2) = 20 GeV2 for small values of x between 4 x 10(-4) and 10(-2) fro
m the scaling violations of the proton structure function F-2 measured
recently by ZEUS in deep inelastic neutral current ep scattering at H
ERA. The extraction was performed in two ways. Firstly, using a global
NLO fit to the ZEUS data on F-2 at low x constrained by measurements
from NMC at larger x; and secondly using published approximate methods
for the solution of the GLAP QCD evolution equations. Consistent resu
lts are obtained. A substantial increase of the gluon density is found
at small x in comparison with the NMC result obtained at larger value
s of x.