Moses married Rachel Garrison. Rachel (daughter of Jacob Garrison, Jr. and First wife Unknown) was born 1704, Salem, Salem, New Jersey, United States; died , Greenwich, Cumberland, New Jersey, United States. [Group Sheet]

1. Rachel Platts was born 27 Nov 1725, Greenwich, Cumberland, New Jersey.
2. Mary Platts was born 25 Apr 1728, Greenwich, Cumberland, New Jersey, United States; died 20 Mar 1775, Cumberland, Cumberland, New Jersey, United States.
3. Elizabeth Platts was born 1 Dec 1731, Greenwich, Cumberland County, New Jersey.
4. Phebe Platts was born 28 Jan 1733, Greenwich, Cumberland County, New Jersey.
5. Sarah Platts was born 19 Oct 1738, Greenwich, Cumberland, New Jersey.
6. David Platts was born 24 Mar 1739, Greenwich, Cumberland County, New Jersey; died 2 July 1805, Hopewell Township, Cumberland County, New Jersey; was buried , Roadstown, Cumberland County, New Jersey, USA.
7. Judith Platts was born 9 Aug 1741, Greenwich, Cumberland, New Jersey.
8. Rodah Platts was born 17 Feb 1744, Greenwich, Cumberland County, New Jersey; died 30 Mar 1836.
9. Moses Platts, III was born 25 Mar 1759, Greenwich, Cumberland, New Jersey; died 11 April 1819; was buried , Bridgeton, Cumberland County, New Jersey, United States of America.