The two-dimensional metal carbide desalination membrane includes a stack of two-dimensional metal carbide layers. A two-dimensional metal carbide included in the two-dimensional metal carbide layers may have the formula Ti3C2Tx, where T represents a terminating functional group, and x represents a number of the terminating functional groups. The terminating group may be oxygen, hydroxide (OH), fluorine or combinations thereof. The two-dimensional metal carbide desalination membrane includes nano-channels which are selectively permeable to ions. The two-dimensional metal carbide desalination membrane is selectivity permeable to a number of different cations, including Li+, Na+, K+, Mg2+, Ca2+, Ni2+ and Al3+, with counter Cl- anions. Permeation rates depend on the charges of the cations and the ions' hydrated radius, with a critical point around 4.0 Å. The two-dimensional metal carbide desalination membranes can be used as desalination and/or water filtration membranes.