Abstract: This invention relates to an e-cigarette rechargeable battery charging case comprising: a base comprising a first recess for receiving an e-cigarette rechargeable battery, a cover covering said first recess when in closed position and making said first recess accessible when in open position, a flexible hinge linking said cover to said base, a first extension of said hinge being fastened to cover structure, and a second extension of said hinge being fastened to base structure, wherein said second hinge extension: cooperates with at least an aligning part of base structure, so as to align said base and said hinge with respect to each other, and is tightened between tightening parts of said base structure, so as to maintain aligned said base and said hinge with respect to each other, over time, despite successive openings and closings of said cover.