  We have obtained two classes of $(n+1)$-dimensional wormhole solutions using
a traceless energy-momentum tensor in Brans-Dicke theory of gravity. The first
class contains wormhole solutions in an open geometry while the second contains
wormhole solutions in both open and closed universes. In addition to wormhole
geometries, naked singularities and maximally symmetric spacetime also appear
among the solutions as special cases. We have also considered the travesibility
of the wormhole solutions and have shown that they are indeed traverseable.
Finally, we have discussed the energy-momentum tensor which supports this
geometry and have checked for the energy conditions. We have found that
wormhole solutions in the first class of solutions violate weak energy
condition (WEC). In the second class, the wormhole geometries in a closed
universe do violate WEC, but in an open universe with suitable choice of
constants the supporting matter energy-momentum tensor can satisfy WEC.
However, even in this case the full effective energy-momentum tensor including
the scalar field and the matter energy-momentum tensor still violates the WEC.
