We　propose　a　scheme　for　the　determination　of　entangled　states　for　atom-cavity　systems　and　ion　traps.　Our　scheme　provides　a　means　of　directly　measuring　the　Wigner　function　matrix,　that　contains　all　the　information　on　a　composite　system.　It　is　useful　for　studying　quantum　correlation　between　an　electronic　system　and　a　harmonic　oscillator　and　quantum　information　processing.