A sealing device (6, 7), comprising: a first metal core (11, 16) that has a generally L-shaped cross section, and has a cylindrical portion (21, 61) that is fitted to an outer ring; a first elastic seal (12, 17) that is attached to the first metal core; a second metal core that has a generally L-shaped cross section, and has a cylindrical portion that is fitted to an inner ring; and a second elastic seal that is attached to the second metal core, wherein a plurality of throuyh-holes (24, 65) is formed in an axially intermediate portion of the cylindrical portion (21, 61) of the first metal core, at predetermined intervals in a circumferential direction, and the through-holes (24, 65) pass through the cylindrical portion (21, 61) in a radial direction, the first elastic seal has a lip (42, 72) that is in sliding contact with an outer peripheral face of the cylindrical portion of the second metal core, a first cylindrical portion (45, 75) that is in close contact with an inner peripheral face of an axially inner-side portion of the cylindrical portion (21, 61) of the first metal core, a second cylindrical portion (46, 76) that is in close contact with an outer peripheral face of an axially outer-side portion (23, 64) of the cylindrical portion (21, 61) of the first metal core, and a plurality of connecting pieces (47, 77) that are inserted into the through-holes (24, 65) of the cylindrical portion (21, 61) of the first metal core and that connect the first cylindrical portion (45, 75) with the second cylindrical portion (46, 76), and the second elastic seal has a lip that is in sliding contact with an inner peripheral face of the axially outer-side portion (23, 64) of the cylindrical portion (21, 61) of the first metal core. a first metal core (11, 16) that has a generally L-shaped cross section, and has a cylindrical portion (21, 61) that is fitted to an outer ring; a first elastic seal (12, 17) that is attached to the first metal core; a second metal core that has a generally L-shaped cross section, and has a cylindrical portion that is fitted to an inner ring; and a second elastic seal that is attached to the second metal core, wherein a plurality of throuyh-holes (24, 65) is formed in an axially intermediate portion of the cylindrical portion (21, 61) of the first metal core, at predetermined intervals in a circumferential direction, and the through-holes (24, 65) pass through the cylindrical portion (21, 61) in a radial direction, the first elastic seal has a lip (42, 72) that is in sliding contact with an outer peripheral face of the cylindrical portion of the second metal core, a first cylindrical portion (45, 75) that is in close contact with an inner peripheral face of an axially inner-side portion of the cylindrical portion (21, 61) of the first metal core, a second cylindrical portion (46, 76) that is in close contact with an outer peripheral face of an axially outer-side portion (23, 64) of the cylindrical portion (21, 61) of the first metal core, and a plurality of connecting pieces (47, 77) that are inserted into the through-holes (24, 65) of the cylindrical portion (21, 61) of the first metal core and that connect the first cylindrical portion (45, 75) with the second cylindrical portion (46, 76), and the second elastic seal has a lip that is in sliding contact with an inner peripheral face of the axially outer-side portion (23, 64) of the cylindrical portion (21, 61) of the first metal core.