From Longman Dictionary of Contemporary Englishsqueeze your eyes shutsqueeze your eyes shutto close your eyes very tightly → squeeze
Examples from the Corpus
squeeze your eyes shut• Just in case, he also crossed his legs and squeezed his eyes shut.• With a groan she squeezed her eyes shut.• She squeezed her eyes shut and clenched her fists tight.• Shiona gripped the steering-wheel and squeezed her eyes shut and slowly counted up to ten.• The boy squeezed his eyes shut and stopped moving.• He squeezed his eyes shut and swore silently to give himself courage.• Isabel squeezed her eyes shut for a second.• She squeezed her eyes shut tightly, feeling the sting of tears behind her eyelids. 