在傳統的簽章機制中，我們需要一個具有公信力的第三方 (Trusted Third Party, TTP) 來核發數位憑證，以驗證公開金鑰確實屬於簽章者所擁有，為了減少TTP的負擔，於是就有學者提出了免憑證簽章 (Certificateless Signature) 機制。另一方面，具有訊息回復 (Message Recovery) 功能的數位簽章是指原始訊息不需要與簽章一起傳送給接收者以簡化訊息及簽章在傳送時的長度。 本論文中我們提出了一個具有訊息回復功能的免憑證簽章機制，和一般簽章方式相比，我們的方法不僅具有免憑證簽章的優點，訊息回復功能也減少了訊息和簽章的總長度，提昇了訊息的傳送效率 (Communication Cost)，在效能方面也有不錯的表現，因此非常適用於以頻寬為主要考量的公司組織以及對短訊息作簽章的應用，最後我們也有對我們的簽章方法做完整的安全性證明。 / In traditional digital signature systems, a trusted third party (TTP) is required in order to issue a digital certificate. The certificate is to assure that the public key actually belongs to the person of the signature. In order to reduce the burden of TTP, some scholars proposed the Certificateless Signatures. On the other hand, a digital signature with message recovery is a signature that the message itself is not required to be transmitted together with the signature. It has the advantage of small data size of communication. In this paper, a certificateless signature with message recovery is proposed. It inherits both the advantages of certificateless signatures and signatures providing message recovery. The performance of our scheme is compared with other schemes which shows that our scheme is quite efficient and the security of the scheme is finally proved in the random oracle model.