  In this paper we study the existence of normalized solutions to the following
nonlinear Schr\"{o}dinger equation with critical growth \begin{align*}
  \left\{ \begin{aligned} &-\Delta u=\lambda u+f(u), \quad \quad \hbox{in
}\mathbb{R}^N,\\ &\int_{\mathbb{R}^{N}}|u|^{2}dx=a^{2}, \end{aligned} \right.
\end{align*} where $a>0$, $\lambda\in \mathbb{R}$ and $f$ has an exponential
critical growth when $N=2$, and $f(t)=\mu |u|^{q-2}u+|u|^{2^*-2}u$ with $q \in
(2+\frac{4}{N},2^*)$, $\mu>0$ and $2^*=\frac{2N}{N-2}$ when $N \geq 3$. Our
main results complement some recent results for $N \geq 3$ and it is totally
new for $N=2$.
