The invention relates to a lithium-ion secondary battery anode material technology, in particular to a lithium-rich manganese-based anode material Li(Li(1-2x)/3Nix-aMyMn(2-x)/3-b)O2 (M is Co, Al, Ti, Mg and Cu) and a preparation method thereof. A general formula of the lithium-rich manganese-based anode material is as follows: Li(Li(1-2x)/3Nix-aMyMn(2-x)/3-b)O2 (M is Co, Al, Ti, Mg and Cu), wherein x is more than 0 and less than or equal to 0.5, when M is Co and Al, y is more than 0 and less than 2x, a is equal to b, and b is equal to y/2; when M is Ti, y is more than 0 and less than (2-x)/3, a is equal to 0, and b is equal to y; and when M is Mg and Cu, y is more than 0 and less than x, a is equal to y, and b is equal to 0. The invention has high specific discharge capacity, excellent normal temperature and high temperature cycle performance, good safety, low raw material cost and production cost, and very high cost-performance ratio.