A non-dispersible concrete for underwater and underground construction is disclosed, whose composition primarily comprises: coarse aggregate in a range of from 600 to 1200 kgw/m3; fine aggregate 500 to 1100 kgw/m3, with a fineness modulus (F.M.) in a range of from 2.2 to 3.2; powder 300 to 700 kgw/m3; mixing water 140 to 300 kgw/m3; and cohesion-enhancing admixture (for example, polyacrylamide, PAA) whose solid content is 0.1 to 5.0 wt % of the powder. In addition, a SCC for underwater and underground construction is also developed and has excellent property of self-consolidation (its test value is 400 to 750 mm in slump flow spread test) and an appropriate compressive strength (between 14 to 70 MPa), so as can be widely applied to underwater and underground construction, whose composition further includes superplasticizer with solid content 0.1 to 3.0 wt % of the powder. Also, it covers: water to binder ratio (W/B) of 0.22 to 1.00, paste volume 0.25 to 0.60 m3, and water/powder volume ratio 0.5 to 2.95.