| | Conditions & Treatments | Sleep Disorders Does a person eyes move back and forth really quickly during REM sleep? During REM sleep, a person's eyes do move back and forth really quickly. This rapid movement is called called rapid eye movement (REM). Sleep Disorders - Related Articles Ways to Get Sleepy Fast How to Adjust a Goodnight 420/425 Series CPAP Machine How to Set the Ramp on a Resmed CPAP S6 Does a lack of sleep cause energy? Remedies for a Good Night's Sleep The Best Pillow for Snoring How do I Adjust a Remstar 1005960 CPAP?