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Solid polymer electrolytes (SPEs),such as polyethylene oxide (PEO),are characteristic of good flexibility and excellent processability,but they suffer from low ionic conductivity and small Li+ transference number at ambient temperature.Inorganic solid electrolytes (ISEs),garnet-type Li7La3Zr2O12 and its derivatives (LLZO-based) in particular,possess high ionic conductivity at room temperature,wide electrochemical stability window,large Li+ transference number as well as good stability against Li metal anode.Nevertheless,lithium dendrites growth,interfacial contact issue and brittle nature of LLZO-based ceramic electrolytes prevent their practical applications.In response to these shortcomings,LLZO-based/polymer solid composite electrolytes (SCEs),taking complementary advantages of two kinds of electrolytes,and thus simultaneously improving the electrode wettability,ionic conductivity and mechanical strength,have been made to develop high-performance SCEs in recent years.Herein,the intrinsic properties and research progress of LLZO-based/polymer SCEs,including LLZO-based/PEO SCEs (LLZO-based/PEO SCEs with uniform dispersion of LLZO-based fillers and LLZO-based/PEO layered SCEs) and LLZO-based/novel polymers SCEs,are summarized.Besides,comprehensive updates on their applications in solid-state batteries are also presented.Finally,challenges and perspectives of LLZO-based/polymer SCEs for advanced allsolid-state lithium batteries (ASSLBs) are suggested.This review paper aims to provide systematic research progress of LLZO-based/polymer SCEs,to allow for more efficient and target-oriented research on improving LLZO-based/polymer SCEs.