©　2015　L　&　H　Scientific　Publishing,　LLC.　In　this　paper,　the　adaptive　synchronization　of　a　stochastic　fractionalorder　complex　Lorenz　system　is　analyzed.　Firstly,　the　Laguerre　polynomial　approximation　method　is　applied　to　investigate　the　fractionalorder　system　with　a　random　parameter　which　obeys　an　exponential　distribution.　Based　on　this　method,　the　stochastic　system　is　reduced　into　the　equivalent　deterministic　one.　Besides,　based　on　the　stability　theory　of　fractional-order　systems,　the　adaptive　synchronization　for　the　deterministic　system　with　unknown　parameters　is　realized　by　designing　appropriate　synchronization　controllers　and　estimation　laws　for　uncertain　parameters.　Numerical　simulations　are　used　to　demonstrate　the　effectiveness　and　feasibility　of　the　proposed　scheme.