Texture, structure, and magnetic and mechanical properties of thin tape substrates fabricated of ternary nickel alloys with chromium, tungsten, molybdenum, and vanadium have been investigated. It has been shown that in Ni93.8Cr4.0Mo2.2, Ni88.5Cr6.2V5.3 and Ni88.4Cr9.2W2.4 alloys a sharp cube texture can form, which is stable up to high annealing temperatures. In the Ni87.6Cr8.0Mo4.4 alloy, other weak orientations are present, along with the strong cube component. The possibility of obtaining a sharp cube texture after primary recrystallization is controlled by the quantitative relationship between the texture components in a cold-rolled tape, which is determined by the method of orientation-distribution functions. Three alloys studied are non-magnetic at 77 K.