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The certificateless public key cryptography has attracted wide attention since it could solve the certificate management problem in the traditional public key cryptography and the key escrow problem in the identity-based public key cryptography. Recently, several certificateless short signature schemes, which could satisfy the requirement of low-bandwidth communication environments, have been proposed. However, most of them are not secure against either the Type I adversary or the Type II adversary. In this study, the authors propose a new efficient certificateless short signature scheme. The analysis shows the authors' scheme has better performance than the related schemes and is secure against both of the super Type I and the super Type II adversaries.