The plural of person is usually people • Sixty four people (NOT persons) died in the fire.
Persons is also used, but only in public notices and other formal contexts • All persons born in the United States are citizens of the United States.
People meaning 'more than one person' is already plural and cannot form a plural with 's' • A lot of British people (NOT peoples) are employed by foreign firms.
People meaning 'race' or 'nation' is countable and you can add 's' to form a plural in the normal way • African peoples