Space composite truss structure and building

The invention discloses a space composite truss structure and a building. The space composite truss structure comprises an upper chord beam and slab structure, a lower chord structure, and a verticalweb member, wherein the upper chord beam and slab structure comprises an upper chord plate and an upper chord beam, the upper chord beam is arranged below the upper chord plate, and the upper chord beam is fixedly connected to the upper chord plate; the lower chord structure comprises a plurality of first lower chords and a plurality of second lower chords, the plurality of first lower chords arearranged in parallel in a long-span direction of the upper chord plate, the plurality of second lower chords are arranged in parallel in a short-span direction of the upper chord plate, and the long-span direction is orthogonal to the short-span direction; and the vertical web member is located between the lower chord structure and the upper chord beam and slab structure, the upper end of the vertical web member is connect