  At present, there are many experimental and theoretical results for
$J/\psi\rightarrow\eta_{c}+\gamma$ process, while the results are inconsistent
based on different methods and considerations. In this paper, the light cone
sum rules method is used in studying the radiative decay
$J/\psi\rightarrow\eta_{c}+\gamma$. We give the transition form factor of this
process based on the leading twist distribution amplitude of $\eta_{c}$ meson,
with this form factor further obtain the decay width. Our result is consistent
with those of other sum rules. A comparison of our result with others' about
the decay width is also presented.
