The invention discloses a steel-super high performance concrete composite beam based on a ribbed plate type bridge deck and a construction method. The construction method includes the following steps that step1, steel beams are machined, manufactured and installed; step2, shearing force connecting parts are welded; step3, the super high performance concrete bridge deck is constructed; step4, a guardrail or an anti-collision wall is constructed; step5, bridge deck pavement is constructed, wherein the super high performance concrete bridge deck and the steel beams are fixed through the shearing force connecting parts, the cross section or/and the longitudinal section of the super high performance concrete bridge deck is/are of a ribbed plate structure, and pre-stressed reinforcements can be arranged on a longitudinal rib region or/and a transverse rib region. The composite beam is reasonable in stress, high in strength and capable of substantially reducing the structure dead weight, effectively avoiding defects at a hogging moment region of a composite continuous beam and bringing tensile strength, compressive strength and high durability of super high performance concrete into full play; the composite beam has the advantages of being small in building height, high in rigidity, small in dead weight, good in durability, crack resistance and fatigue resistance and the like, and has great practical value and good economic benefits.