The invention relates to a package (2; 3) for an object, preferably a medical object, the package comprising a bottom shell (21; 31); a top shell (22; 32) having a closure portion (24; 34) referred to as a “cap”, and a connection portion (23; 33) in the form of a hollow body and connected to the closure portion (24) by a hinge (25) to enable the closure portion (24; 34) to tilt relative to the connection portion (23; 33) in order to release access to the inside of the bottom shell (21; 31) through the connection portion (23; 33). The connection portion (23; 33) is provided with a stiffener element (290; 390) and a sealing strip (4; 4′;) connects together the edges (241, 231) of the cap (24; 34) and of the connection portion (23; 33) that face each other over the entire length of said edges. Said connection portion (23; 33) of the top shell (22; 32) and of the bottom shell (21; 31) are two parts that are fastened to each other, preferably by bonding.