  We investigate the mixed local and nonlocal parabolic $p$-Laplace equation
\begin{align*} \partial_t u(x,t)-\Delta_p u(x,t)+\mathcal{L}u(x,t)=0,
\end{align*} where $\Delta_p$ is the local $p$-Laplace operator and
$\mathcal{L}$ is the nonlocal $p$-Laplace operator. Based on the combination of
suitable Caccioppoli-type inequality and Logarithmic Lemma with a De
Giorgi-Nash-Moser iteration, we establish the local boundedness and H\"{o}lder
continuity of weak solutions for such equations.
