  The analytical bounce solution is derived in terms of the polygamma function
in the Caldeira-Leggett's dissipative quantum tunneling model. The classical
action for the bounce solution lies between the upper and lower bounds in the
full range of $\alpha$, where $\alpha$ is a dissipation coefficient. The bounce
peak point increases from 1 to 4/3 with increase of $\alpha$. In spite of
various nice features we have shown that the solution we have derived is not
exact one by making use of the zero mode argument in the linearized fluctuation
equation. However, our solution can be a starting point for approximate
computation of the prefactor in this model.
