A miniature fuse of surface mount type having a stable pre-arcing time-current characteristic and a strong time lag characteristic The fuse is easy to produce, and provides a constant pre-arcing time. The main body of the fuse is of rectangular ceramic construction of split type. A fusible member (60) wound around a ceramic rod (58) and is rested on a recessed portion (62) of the lower ceramic casing (54). The end portion (76) of the fusible member (60) is engaged with the side surface of the casing. The upper ceramic casing (52) is laid on the lower casing, so that the caps (56) are fit onto the opposite ends of the main body. The end portion (76) of the fusible member (60) and the cap (56) are connected by welding. At the time of welding, projections (74) to be fit in the recessed portions (72) provided at the main body, is formed at the cap (56), so that the cap (56) can be fixed to the main body.