The invention discloses a high-manganese and high-aluminium non-magnetic steel plate manufactured through a 50t medium-frequency induction furnace and a manufacturing method thereof. The high-manganese and high-aluminium non-magnetic steel plate smelted through the 50t medium-frequency induction furnace comprises the components, by weight, of 0.08-0.25% of C, 0.25-0.40% of Si, 15-20% of Mn, no more than 0.020% of P, no more than 0.010% of S, 2-4% of Al, 0.02-0.04% of Nb, 0.015-0.030% of V, 0.014-0.018% of Ti, 0.012-0.016% of Cu, and the balance Fe and inevitable impurities. The yield strengthRp0.2 of the steel plate at the normal temperature is larger than or equal to 340 MPa, the tensile strength Rm is larger than or equal to 600 MPa, the percentage elongation after fracture A is 45%-50%, and the percentage reduction of area Z is larger than or equal to 65%. The high-manganese and high-aluminium non-magnetic steel plate is uniform in chemical component and microscopic structure, excellent in mechanical property, low in relative magnetic permeability, low in internal stress, and good in plate shape.