This paper proposes a mobility support scheme for 6LoWPAN. In the scheme, the control information interaction for the mobile handoff is achieved in the link layer, and the routing of the control information is automatically performed through the network topology, which saves the power and the delay time consumed by the routing establishment. In addition, neither does the mobile entity need a care-of address during the mobility process, nor is involved in the mobile handoff process, which reduces the mobile entity's power consumption and prolongs its life span. From the theoretical and simulative perspectives, the paper analyzes the performance parameters, including the mobility handoff cost, the mobility handoff delay time and packet loss rate, and the analytical results show that the performance of the scheme is better than other schemes.