To deal with the problems that the existing routing repair algorithms in low power and lossy networks (LLNs) have the control overhead redundancy, large recovery latency and routing loops, a highly-efficient loop-free based repair routing protocol for LLN(HLR-RPL) is proposed. This algorithm mainly carries out three optimization schemes. Firstly, it adopts a new destination oriented directed acyclic graph (DODAG) information solicitation amend (DIS-A) which makes the process of link interruption notification and the process of path finding carried out simultaneously. Secondly, a mechanism of reducing the control overhead is proposed to avoid all the nodes reply the DODAG information object message when receiving a DIS-A message. Finally, a sub-nodes switching mechanism of the link broken node is proposed which optimizes the network topology. The simulation results show that HLR-RPL outperforms the existing routing repair algorithms in terms of control overhead and routing recovery latency. In addition, it can avoid the routing loops thoroughly.