The present invention concerns a portable object including a case (2) and a bracelet or strap (14). The case includes a middle part (4) from which two pairs of horns (12) extend, the horns of each pair being connected by a guide element (50) defining a space in conjunction with the middle part. The portable object includes securing means (18) including a locking part (20, 20′) inserted in each end (30) of the bracelet or strap and at least one groove (22) located on the middle part (4). The securing means (18) is arranged to enable each end of the bracelet or strap to be inserted in the space defined by the middle part and the horns of each pair connected by the guide element (50), such that the locking part (20) cooperates elastically with said groove to secure said bracelet or strap to the case in a simple manner.