From Longman Dictionary of Contemporary Englishbury your face/head etc (in something)bury your face/head etc (in something)PRESSto press your face etc into something soft Noel buried his face in the pillow. → bury
Examples from the Corpus
bury your face/head etc (in something)• Jessamy buried her face against her husband's shoulder.• She gripped his hands, his shirt, burying her face in his chest, hiding and laughing at her own reaction.• She returned to her chair and sank down into it burying her face in her hands.• Suddenly he raced across the stage and buried his face behind the curtain.• Then with a groan, he buried his face in her neck and began stroking her thighs.• You will notice phrases like crocodile tears, the elephant never forgets, and the ostrich burying its head in the sand. 