  For $0<\alpha, \lambda \leq 1$, the Lerch zeta-function is defined by
$L(s;\alpha, \lambda)$$:= \sum_{n=0}^\infty e^{2\pi i\lambda n}
(n+\alpha)^{-s}$, where $\sigma>1$. In this paper, we prove joint universality
for Lerch zeta-functions with distinct $\lambda_1,\ldots,\lambda_m$ and
transcendental $\alpha$.
