Peck was born in New York City and pursued classical studies, attending Yale College and studying law in New York City.

He moved to Michigan in 1839 and settled in Brighton, where he was admitted to the bar in 1842 and commenced practice there in the same year.

He was a member of the Michigan State House of Representatives in 1846 and 1847 and served as speaker the last term.

He was editor and proprietor of the Lansing Journal and the state printer 1852-1855.

He died in Saginaw, Michigan, and is interred in Brady Hill Cemetery there.