There are many causes of dizziness that can occur when you close your eyes. Dizziness and anemia can occur if blood pressure is suddenly high or low. Dizziness can occur if women have excessive menstruation or have anemia. There are some chronic diseases, such as diabetes, kidney disease, respiratory disease, and weakness, which can also cause dizziness. Dizziness can also occur if heart disease presents with arrhythmia and rapid heartbeat. Diseases of the middle and inner ear, such as Meniere’s syndrome, otitis media, and otoliths, can cause dizziness with eyes closed, and there are also adverse reactions to some medications that can cause dizziness.