This　paper　considered　the　combination　of　cyclic　load　and　eccentric　load　to　study　the　hysteretic　performance　of　H-section　6061-T6　aluminium　alloy　members　For　this　reason,　this　study　designs　and　conducts　the　eccentric　cyclic　loading　test　of　three　H-section　6061-T6　aluminium　alloy　members　with　different　slenderness　ratios　based　on　a　reliable　test　system.　The　failure　form,　failure　process,　and　bearing　capacity　of　each　member　are　analysed.　The　results　show　that　for　eccentrically　loaded　members,　no　overall　buckling　is　observed　during　loading.　Moreover,　the　members　along　the　longitudinal　direction　do　not　fully　develop　plasticity,　whereby　such　plasticity　in　the　full　sections　is　avoided.　Plastic　local　buckling　controls　the　failure　mechanism　of　all　specimens,　leading　to　degradation　in　the　stiffness　of　the　specimens　and　generation　of　subsequent　cracks　at　the　local　buckling　sites　of　the　webs,　which　in　turn　leads　to　fracture　failure.　Simultaneously,　on　the　basis　of　the　Chaboche　hybrid　strengthening　model,　the　member　model　was　established　using　the　ABAQUS　finite　element　(FE)　software.　Furthermore,　the　material　parameters　were　calibrated　using　material　test　data　and　fitted　the　cyclic　constitutive　relationship　of　aluminium　alloy.　The　effectiveness　of　the　FE　simulation　method　and　the　rationality　of　the　constitutive　model　was　accurately　verified　by　experimental　results.　Additionally,　the　parameter　analysis　of　eighteen　members　with　different　cross-sections,　slenderness　ratios,　and　eccentricities　was　carried　out.　It　is　shown　that　the　increase　of　slenderness　ratio　and　eccentricity　result　in　weakening　of　the　energy　consumption　capacity　and　bearing　capacity　obviously,　which　thereby　provides　a　reference　for　the　seismic　design　of　aluminium　alloy　structures.　©　2021　Elsevier　Ltd