An edible pet chew has a member of meat based material. As a first aspect of present invention, the edible pet chew has a chewy sheet of meat based material. As another aspect, the edible pet chew has a meat based material chewy sheet member and additionally an edible material member being wrapped therein. As another aspect, the edible pet chew has an edible material member and additionally a meat based material chewy sheet member being wrapped therein. As another aspect, the edible pet chew has a THREE-DIMENSIONAL-SHAPE meat based material member and additionally an edible material member wrapped therein. As another aspect, the edible pet chew has an edible material member and additionally a THREE-DIMENSIONAL-SHAPE meat based material member wrapped therein. Other aspects of present invention provide a method for making the edible pet chew with the essential member of meat based material chewy sheet member or THREE-DIMENSIONAL-SHAPE member.