The 39-year-old singer and his wife, TV personality Vanessa Lachey, welcomed their son, Camden, last September.
"A Father's Lullaby" will be available on iTunes and Amazon on March 13. It will be in stores in April.
Lachey will release a new album, "2.0," in May with his group, 98 Degrees.
"A Father's Lullaby" is a partnership with Fisher-Price Inc., a subsidiary of Mattel and Mood Entertainment.