To show possession using an apostrophe, add ’s for individuals (“Smith’s car”) and just the apostrophe after the s for plurals (“the Smiths’ car,” “the Martinezes’ dog”). By convention, names from classical mythology and the Bible ending in s show possession with the apostrophe only (“Jesus’ teachings”).

Peoples’ is the plural possessive form of Peoples. When the noun already ends in “s” and we want to make the word possessive, we need to put the apostrophe after the “s”.

“People’s'” is never correct to use as it includes too many apostrophes. If you are going to write it, you only need to place an apostrophe between the “E” and the “S.”