Abstract: A combination mattress for putting babies to sleep without disturbing the babies and waking them up includes a platform piece and baby-carrying piece. When the baby-carrying piece is placed in the platform piece, the two form a complete sleeping surface for a baby. When the caregiver needs to put the baby to sleep, the caregiver removes the baby-carrying piece from the platform piece, puts the baby on top of the baby-carrying piece, and cuddles the baby to sleep. When the baby is asleep, the caregiver moves the baby-carrying piece with the baby lying on top of the baby-carrying piece into the platform piece, where the baby continues to sleep. By avoiding touching the baby or creating pressure points with the baby's body, the caregiver avoids waking up the baby while transporting the baby to the platform piece.