Certificateless cryptographic schemes are very useful secure protection tools in wireless network. Quite recently

a certificateless signature with strong unforgeability in the standard model was presented by Hung

et al. in 2016. Although they demonstrated that their scheme was secure and unforgeable under the collision resistant hash and computational Diffie Hellman assumptions

but we find that it is not secure against type II adversary. In this paper

we give security analysis to their scheme

and show that by giving concrete attack

a type II adversary could forge a legal signature of any message. We also put forward a possible fix of certificateless scheme which can solve secure problem.