  In this work we will explore $U(1)$ local cosmic string solutions in the
context of the generalized hybrid metric-Palatini theory of gravity in its
scalar-tensor representation. Using a general static cylindrically symmetric
metric to find the dynamical equations for this particular case, we will
simplify the equations by imposing boost invariance along $t$ and $z$
directions. The strings properties are determined by both scalar fields and by
the effective potential, function of the scalar fields. While for some forms of
the potential, the dynamical equations can be solved exactly, for more general
forms of the potential the solutions are found numerically. Several stable
string configurations were found, whose basic parameters depend essentially on
the effective field potential, and on the boundary conditions.
