  We consider Non-local Gravity in view to obtain stable and traversable
wormhole solutions. In particular, the class of Non-local Integral Kernel
Theories of Gravity, with the inverse d'Alembert operator in the gravitational
action, is taken into account. We obtain constraints for the null energy
condition and derive the field equations. Two special cases for the related
Klein-Gordon equation are assumed: one where the function in the gravitational
action has a linear form and another one with exponential form. In each case,
we take into account two forms for scalar fields and derive the shape
functions. Asymptotic flatness and flaring-out conditions are checked. Energy
conditions and dynamics of the solutions are examined at the throat. The main
result is that non-local gravity contributions allow stability and
traversability of the wormhole without considering any exotic matter.
