  For normalized harmonic functions $f(z)=h(z)+\bar{g(z)}$ in the open unit
disk $\mathbb{U}$, a sufficient condition on $h(z)$ for $f(z)$ to be $p$-valent
in $\mathbb{U}$ is discussed. Moreover, some interesting examples and images of
$f(z)$ satisfying the obtained condition are enumerated.
