In this thesis, we proposed a purchase lottery protocol for joint multi-participants in a mobile environment. This method integrates cryptology, including elliptic curve cryptography and public key infrastructure. The lottery organization involves an untraceable tamperproof decryptor to generate the winning numbers. And the generation of the winning numbers is fair and publicly verifiable. All participants share an equal probability for winning the prize. The proposed method can defend against attacks and can be easily implemented into a mobile environment.