  This paper discusses linearized (spherically symmetric) perturbation of
static Heckmann composite thin shell wormholes in Brans-Dicke gravity. The
equation of state $P= \beta^2 \sigma$ at the throat is linearized around the
static solution where $\sigma$ energy density of the shell and $P$ the presume.
We have shown that this thin shell wormholes is stable within the range
$0\leq\beta<1$ and with all values of $\omega$ except $\omega=-2$.
