We study the g-factor of a bound electron in hydrogen-like ions within a no
n-relativistic approach. The one-loop and two-loop vacuum polarization cont
ributions are found in a closed analytic form as well as the finite-nuclear
-size correction. We present numerical results for low and moderate values
of the nuclear charge Z less than or equal to 30. (C) 2000 Published by Els
evier Science B.V. hll rights reserved.