  We analytically investigate the Schwinger pair production in the de Sitter
background by using {\em the uniform asymptotic approximation method}, and show
that the equation of motion in general has two turning points, and the nature
of these points could be single, double, real or complex, depending on the
choice of the free parameters involved in the theory. Different natures of
these points lead to different electric currents. In particular, when $\beta
\equiv m^2/H^2-9/4$ is positive, both turning points are complex, and the
electric current due to the Schwinger process is highly suppressed, where $m$
and $H$ denote, respectively, the mass of the particle and the Hubble
parameter. For the turning points to be real, it is necessary to have $\beta <
0$, and the more negative of $\beta$, the easier to produce particles. In
addition, when $\beta < 0$, we also study the particle production when the
electric field $E$ is very weak. We find that the electric current in this case
is proportional to $E^{1/2 - \sqrt{|\beta|}}$, which is strongly enhanced in
the weak electric field limit when $m < \sqrt{2} H$.
