Apnea, bradycardia, and oxygen desaturation events are a common in neonatal intensive care units, with relevant literature to date largely focusing on very low birth weight and extremely low birth weight infants. We conducted a retrospective review of infants born at ≥34 weeks gestational age at 2 tertiary neonatal intensive care units in Boston, MA, between January 2009 and December 2013. Our objectives included (1) describing the diagnostic evaluations performed in late preterm to term infants with discharge-delaying apnea, bradycardia, or oxygen desaturation events and (2) identifying variables associated with home monitor use. Of the 741 eligible infants identified, diagnostic evaluations were variable and infrequent with blood culture, blood glucose, and head ultrasound performed most commonly. The likelihood of home monitor use was greater in infants with either a prolonged inpatient stay or greater gestational age at birth.