  Let $S_k$ be the space of holomorphic cusp forms of weight $k$ with respect
to $SL_2(\mathbb{Z})$. Let $f \in S_k$ be a normalized Hecke eigenform,
$L_f(s)$ the $L$-function attached to the form $f$. In this paper we consider
the distribution of zeros of $L_f(s)$ in the strip $\sigma \leq \Re s \leq 1$
for fixed $\sigma>1/2$ with respect to the imaginary part. We study estimates
of \[ N_f(\sigma,T) = #\{\rho\in\mathbb{C} \mid L_f(\rho)=0, \sigma\ leq
\Re\rho \leq 1, 0 \leq \Im\rho \leq T} \] for $1/2 \leq \sigma \leq1$ and large
$T>0$. Using the methods of Karatsuba and Voronin we shall give another proof
for Ivi\'{c}'s method.
