An anti-jumping upper wheel device with double dampers comprises of an anti-jumping upper wheel assembly with double damper (10) being comprised of an upper wheel plate (11), an upper wheel (12), an upper wheel cover (13) and double dampers (14) and a pulling unit (20); wherein, an anti-jumping roller (17) is mounted to the upper wheel cover (13); the pulling unit (20) is a double-plate pulling unit which is comprised of a baseplate of pulling unit (21) and a pillar plate of pulling unit (22) mounted above it; a pulling pillar (221) is fixed vertically on the pillar plate of pulling unit (22); wherein, connecting elastic units (23, 24) are overlapped and connected in parallel to three branch plates (2131, 2132, 2133, 2141, 2142, 2143) mounted on longitudinal direction in parallel of both ends on longitudinal direction of the baseplate of pulling unit (21).