【正】 -The dynamical structure of A≤4 Λ-hypernuclei is studied by using thefew-body theoretical method.The AN interaction is taken to be the meson exchange po-tential with the single k,ω,η exchange diagrams and the box diagrams of π and πρ ex-change containing the intermediate state particles Σ,Δ.The Λ binding energy differenceof the mirror hypernuclei _Λ~4He and _Λ~4H is explained.It is shown that the root meansquare distances between the particles in the light hypernuclei are almost the same andthere does not exist any nuclear core.The relative motion between particles stay mainlyin 1S state.