This　paper　study　the　adaptive　event-triggered　time-varying　formation　(TVF)　problems　for　second-order　multi-agent　systems(MAS)　with　uncertainties.　The　adaptive　formation　control　protocol　with　event-triggered　mechanism　is　proposed　by　introducing　adaptive　weights　into　triggering　condition　and　control　protocol.　And　the　information　interaction　topologies　of　the　MAS　is　unnecessary　to　generate　the　formation　control　signal.　According　to　the　Lyapunov　stability　theory,　it　is　proved　that　the　multi-agent　systems　with　the　uncertainties　can　accomplish　the　designed　formation　which　satisfies　the　feasible　condition.　©　2019　IEEE.