  In the light of recent observations which point to an open universe
$(\Omega_{0}<1)$, we construct an open singularity-free cosmological model by
reconsidering a model originally constructed for a closed universe. Our model
starts from a nonsingular state called prematter, governed by an inflationary
equation of state $P=(\gamma_{p}-1)\rho$ where $\gamma_{p}$ $(\simeq 10^{-3})$
is a small positive parameter representing the initial vacuum dominance of the
universe. Unlike the closed models universe cannot be initially static hence,
starts with an initial expansion rate represented by the initial value of the
Hubble constant H(0). Therefore, our model is a two-parameter universe model
$(\gamma_{p},H(0))$. Comparing the predictions of this model for the present
properties of the universe with the recent observational results, we argue that
the model constructed in this work could be used as a realistic universe model.
