In　concrete　flat　plate　slab-column　joints　with　drop　panels,　successive　punching　shear　failures　often　occur　at　the　slab-drop　panel　interface　and　along　the　column　perimeter.　When　such　joints　are　subjected　to　combined　bending　-shear　actions　under　an　eccentric　load,　their　punching　and　post-punching　shear　failure　behaviours　are　further　complicated　which　can　significantly　impact　the　progressive　collapse　behaviour　of　the　structural　system.　An　experimental　study　was　conducted　on　six　laterally-restrained　slab-column　joint　specimens　with　drop　panels.　Different　levels　of　load　eccentricities　and　different　drop　panel　thicknesses　were　considered.　Two　punching　shear　failure　sections　were　also　identified.　For　a　thick　drop　panel,　the　first　punching　failure　took　place　at　the　slab-drop　panel　interface,　followed　by　the　second　punching　shear　failure　occurring　along　the　column　perimeter.　For　a　thin　drop　panel,　on　the　other　hand,　punching　shear　failure　only　occurred　at　the　column　perimeter.　The　damage　patterns,　the　reinforcement　strains　and　the　joint　strengths　before　and　after　punching　failure　at　two　different　sections　were　analysed.　Numerical　simulation　was　conducted　to　investigate　the　effects　of　load　eccentricity　on　the　inclination　of　the　punching　cone.　Numerical　results　showed　that　the　punching　cone　angles　at　the　slab-drop　panel　interface　and　at　the　column　perimeter　are,　on　average,　11.6　degrees　and　27.1　degrees,　respectively.　In　addition,　larger　ec-centricity　contributed　to　higher　cross-sectional　shear　stresses　on　the　eccentric　loading　side,　leading　to　reduced　punching　shear　strength　and　earlier　damage.　Furthermore,　the　experimental　and　numerical　punching　shear　strengths　were　compared　against　the　predictions　of　the　Chinese,　American　and　European　design　codes.　Finally,　a　post-punching　strength　prediction　method　was　proposed,　and　the　predicted　strengths　deviated　from　the　exper-imental　results　by-16%　and　23%,　for　the　thick　and　thin　drop　panels,　respectively.　In　addition,　the　integrity　reinforcement　was　also　found　to　contribute　at　least　80%　to　the　post-punching　shear　strength.