  Scalar and tensor glueball spectrum is studied using an improved gluonic
action on asymmetric lattices in the pure SU(3) gauge theory. The smallest
spatial lattice spacing is about 0.08fm which makes the extrapolation to the
continuum limit more reliable. In particular, attention is paid to the scalar
glueball mass which is known to have problems in the extrapolation. Converting
our lattice results to physical units using the scale set by the static quark
potential, we obtain the following results for the glueball masses:
$M_G(0^{++})=1730(90)MeV$ for the scalar glueball mass and
$M_G(2^{++})=2400(95)MeV$ for the tensor glueball.
