The strangeness nuclear physics is an important branch of nuclear physics.The spectroscopic study of Λ hypernuclei has been used as a tool for investigating the Λ-N interaction as well as probing the nuclear interior structure.In this paper some high-lights and open questions in the spectroscopic study of p-shell Λ hypernuclei are presented. The strangeness nuclear physics is an important branch of nuclear physics. The spectroscopic study of Λ hypernuclei has been used as a tool for investigating the Λ-N interaction as well as probing the nuclear interior structure. In this paper some high-lights and open questions in the spectroscopic study of p-shell Λ hypernuclei are presented.