  We study the impact of the top quark mass renormalized in the
$\overline{\text{MS}}$ scheme on the $\text{t}\bar{\text{t}}\text{H}$
production cross-sections as an alternative to theory predictions with the
conventionally used pole mass scheme. The differential cross-sections at
next-to-leading order in perturbative QCD with stable top quarks show a
moderate decrease in scale uncertainties for the $\overline{\text{MS}}$ mass
renormalization scheme compared to the on-shell one. The shape of the
differential distributions is not affected much, the largest differences being
observed in the invariant mass distributions of the $\text{t}\bar{\text{t}}$
and the $\text{t}\bar{\text{t}}\text{H}$ systems.
