  In this study, we reach the equations of motion of Morris-Thorne wormhole
geometry by means of the Einstein Field Equations and Klein-Gordon Equation of
Scalar-Tensor theory by direct calculation. We discuss the anisotropic matter
energy distribution. We determine a relation between the radial and the
transverse pressures. Hence, we express the anisotropic energy momentum tensor
in terms of one pressure class, by means of that relation. Besides that, we
check the isotropic case and show that there is no traversable wormhole, in the
zero redshift function situation, if the space is fulfilled with an isotropic
energy momentum distribution. In addition, we represent the conditions in order
that the Null Energy Condition (NEC) is satisfied in the presence of a dilaton
like field, in the zero tidal force case. We also propose a special type of
shape function and express those conditions for it. We will be calling the
wormhole corresponding to that shape function as the Yukawa Type. Furthermore,
we determine the radial and the transverse pressures in the zero redshift
function situation.
