Mono-glyceride trimaleate(MG) was prepared by the esterification from glycerol and maleic anhydride(MA).MG was used as an allyl branching monomer to copolymerize with acrylic acid and the initiator ammonium persulfate to prepare the branched copolymers(BPMGs) by the free radical water-solution polymerization.The structure of MG and BPMG was characterized by 1HNMR.The influence of monomer ratio,the dosage of initiator,the type of branched monomer and the feeding mode on the double bond conversion of MG was investigated by the orthogonal test experiment.The result shows that,the double bond of the branched monomer has a better conversion when the branched monomer is MG-30,n(AA):n(MG) is 6:1,the reaction temperature 85 ℃,reaction time 2.5 h,the mass of initiator ammonium persulfate is 6%(base on the tatal mass of reaction meterials).The result of application shows that,the product has a better filling quality and physical properties.SEM showed the fiber bundles processed by the branched copolymer was dispersed sufficiently.