  In this paper, we study conformal submersions from Ricci solitons to
Riemannian manifolds with non-trivial examples. First, we study some properties
of the O'Neill tensor $A$ in the case of conformal submersion. We also find a
necessary and sufficient condition for conformal submersion to be totally
geodesic and calculate the Ricci tensor for the total manifold of such a map
with different assumptions. Further, we consider a conformal submersion $F:M
\to N$ from a Ricci soliton to a Riemannian manifold and obtain necessary
conditions for the fibers of $F$ and the base manifold $N$ to be Ricci soliton,
almost Ricci soliton and Einstein. Moreover, we find necessary conditions for a
vector field and its horizontal lift to be conformal on $N$ and
$(KerF_\ast)^\bot,$ respectively. Also, we calculate the scalar curvature of
Ricci soliton $M$. Finally, we obtain a necessary and sufficient condition for
$F$ to be harmonic.
