  We consider initial conditions for inflation in non-minimal kinetic coupling
theory. If inflation is driven solely by kinetic term with no potential, the
resulting number of e-folds depends only upon initial velocity of the scalar
field $\dot \phi$. We write down the expression for the number of e-folds
explicitly, and show that for physically reasonable values of the coupling
constant, we can get 60 e-folds only for exponentially big initial $\dot \phi$.
When the scalar field potential is taken into account, on the other hand, we
need not very large $\dot \phi$ to start with for 60 e-folds, on the other
hand, some initial condition lead to physically inadmissible eternal inflation.
We show numerically that in the measure used in the present paper only smaller
part of initial conditions lead to eternal inflation for reasonable values of
the coupling constant.
