In order to avoid the ink spilling problem and make full use of the color reproduction ability of the printer simultaneously, a novel multi-dimensional nonlinear interpolation ink restriction method based on spectral gamut maximization is proposed. Four ink-paper combinations were studied and the maximum gamut was determined judging from the ink holding performance of the specially designed printed samples whose spectral reflectance ranging from 380 to 730 nm was acquired by a spectrophotometer. The principal component analysis (PCA) method was employed to reduce the dimension of the spectral data and the convex hull algorithm was used to visualize and model the maximum gamut of each printing system. The research shows that the proposed ink restriction method can solve the ink spilling problem perfectly, meanwhile, the maximum gamut covering ratios of each ink-restricted gamut are higher than 95%, no matter calculated in spectral, colorimetric or device color space. Therefore, this research provides a reliable and accurate ink restriction method for the ink-jet printing industry.