  We examine the behavior of non-commutative Schwarzschild black holes in the
context of massive gravity. According to the investigation, corresponding to a
minimal mass, the black hole can have two horizons, one horizon, or no horizon
at all. Our results imply the existence of a stable black hole remnant, whose
mass can be uniquely calculated in terms of the non-commutative parameter
$\theta$ and gravity mass $m$. Thermodynamic features such as heat capacity and
Hawking temperature are studied. We also examine a scalar linear perturbation
on the black hole. Quasinormal frequencies are computed via
Wentzel-Kramers-Brillouin(WKB) method with Pade improvement. All quasinormal
frequencies considered in this work have a negative imaginary part. In the
eikonal limit, we investigate the angular velocity and the Lyapunov exponent as
a function of $M/\sqrt{\theta}$. Additionally, we explore the black hole's
shadow across various model parameters. Our findings indicate that
non-commutativity leads to a reduction in the black hole's shadow, with this
effect exhibiting a nonlinear relationship. Furthermore, we observe that the
inclusion of a massive graviton in the theory results in an increase in the
black hole's shadow radius, particularly at greater observer distances.
