Information Centric Networking (ICN) is a promising paradigm for the future architecture of the Internet. Content Centric Networking (CCN) is an instantiation of the ICN paradigm. The challenging areas of CCN include congestion control, availability, security, etc. We focus on security, especially secure communications. Some schemes applying identity-based encryption (IBE) for content encryption over CCN have been proposed. However, such schemes generally have the key escrow problem that the private key generator which issues decryption keys to receivers can decrypt any ciphertext passively. We propose an IBE scheme approach to the problem by combining partial-double encryption, interest trace back, cut-through fragment forwarding and multi-path routing. Our scheme is IND-ID-CPA secure in the random oracle model.