Anonymous multireceiver encryption scheme can not only protect the privacy of the receiver but also ensure the security of message. However, the computational cost of this scheme is very large. It is not suitable for the sender which has limited resources, such as mobile devices and sensor nodes. In this work, an anonymous multireceiver online/offline identity-based encryption is proposed based on offline/online and identity-based encryption (IBE). In identity-based encryption scheme, the sender can encrypt the message using the unique information of the user (such as identity number or e-mail address) as its public key. The receiver obtains the private key from a central authority. For mobile device with limited resource, the online/offline encryption scheme can reduce the computational cost. Compared to the previous anonymous multireceiver schemes, the proposed scheme can efficiently encrypt message with offline/online method and ensure the anonymity of receivers. The analysis results also show that our scheme is efficient in terms of computational cost by comparing to the previous works.