  The purpose of the present paper is to study the globally and locally
$\varphi $-${\cal T}$-symmetric $\left( \varepsilon \right) $-para Sasakian
manifold in dimension $3$. The globally $\varphi $-$ {\cal T}$-symmetric
$3$-dimensional $\left( \varepsilon \right) $-para Sasakian manifold is either
Einstein manifold or has a constant scalar curvature. The necessary and
sufficient condition for Einstein manifold to be globally $\varphi $-${\cal T}$
-symmetric is given. A $3$-dimensional $% \left( \varepsilon \right) $ -para
Sasakian manifold is locally $\varphi $-$ {\cal T}$-symmetric if and only if
the scalar curvature $r$ is constant. A $3 $-dimensional $\left( \varepsilon
\right) $-para Sasakian manifold with $% \eta $-parallel Ricci tensor is
locally $\varphi $-${\cal T}$-symmetric. In the last, an example of
$3$-dimensional locally $\varphi $-${\cal T}$-symmetric $\left( \varepsilon
\right) $-para Sasakian manifold is given.
