  In this work, we study the existence of strange star in the background of
$f(\mathbb{T},\mathcal{T})$ gravity in the Einstein spacetime geometry, where
$\mathbb{T}$ is the torsion tensor and $\mathcal{T}$ is the trace of the
energy-momentum tensor. The equations of motion are derived for anisotropic
pressure within the spherically symmetric strange star. We explore the physical
features like energy conditions, mass-radius relations, modified TOV equations,
principal of causality, adiabatic index, redshift and stability analysis of our
model. These features are realistic and appealing to further investigation of
properties of compact objects in $f(\mathbb{T},\mathcal{T})$ gravity as well as
their observational signatures.
