Content-Centric Networking (CCN) has emerged as a promising communication paradigm to replace the host-based architecture with an information-based one for efficient dissemination of content. CCN has several special principles such as subscribe-driven, in-network caching, named content and content-level security. These features enable the content to be cached and retrieved from the nearby nodes, and it is unnecessary to build the communication connection with the content source. However, the mobility problems are not resolved sufficiently. It incurs the loss of packets and the longer handoff delay. This paper proposes distributed mobility management in CCN (D-CCN), which includes two mobility schemes: partially D-CCN (PD-CCN) and fully D-CCN (FD-CCN). Numerical results show that the proposed distributed mobility management schemes give better performance than the existing proposals in term of the total overhead during the handoff.