Lateral sleep systems for aircraft are disclosed. A divider is located between a first seat and a second seat of the aircraft. The divider includes a first panel oriented toward the first seat and a second panel oriented toward the second seat. The first panel defines a first support ledge. The second panel defines a second support ledge. A first lateral sleep apparatus positioned on a first side of the divider adjacent the first seat includes a first headrest and a first cradle. The first cradle supports the first headrest and includes a first panel mounting interface coupling the first headrest to the first support ledge. A second lateral sleep apparatus positioned on a second side of the divider adjacent the second seat includes a second headrest and a second cradle. The second cradle supports the second headrest and includes a second panel mounting interface coupling the second headrest to the second support ledge.