  In 1914 Bohr proved that there is an $r_0 \in(0,1)$ such that if a power
series $\sum_{m=0}^\infty c_m z^m$ is convergent in the open unit disc and
$|\sum_{m=0}^\infty c_m z^m|<1$ then, $\sum_{m=0}^\infty |c_m z^m|<1$ for
$|z|<r_0$. The largest value of such $r_0$ is called the Bohr radius. In this
article, we find Bohr radius for some univalent harmonic mappings having
different dilatations and in addition, also compute Bohr radius for the
functions convex in one direction.
