The　inaccuracy　of　power　sharing　is　a　classic　problem　of　droop　control　when　an　islanded　AC　microgrid　suffers　from　high　loads　and　line　impedance　differences.　It　degrades　system　performance　and　even　destroys　system　stability.　This　paper　originally　presents　a　multi-objective　optimisation　droop　control　method　to　solve　such　a　problem.　And　three　objective　functions　are　presented　according　to　the　characteristics　of　microgrids.　First,　a　complete　small-signal　model　of　a　microgrid　in　autonomous　operation　mode　is　established.　Next,　this　paper　derives　constraint　conditions　for　the　stable　microgrid.　Then,　this　paper　originally　designs　three　objective　functions　for　constructing　a　multi-objective　optimisation　(MOO)　problem　to　improve　control　performance.　The　multiobjective　evolutionary　algorithm　based　on　decomposition　(MOEA/D)　is　used　to　obtain　the　Pareto　optimal　frontier　of　the　MOO　problem.　The　fuzzy　affiliation　function　method　is　used　to　choose　the　best　solution　from　the　generated　Pareto　optimal　frontier.　Finally,　simulations　verified　the　validity　and　superiority　of　the　presented method.　©　2022　The　Authors.　IET　Power　Electronics　published　by　John　Wiley　&　Sons　Ltd　on　behalf　of　The　Institution　of　Engineering　and　Technology.