Multidimensional arithmetic progression is the advanced study of arithmetic progression or sequence having more than one common difference. The common differences may occur multiple times which depends on the dimention of the arithmetic progressions. The book contains arithmetic progressions of dimensions 1, 2, 3 and multiplicities 1, 2, 3. A general form of multiple dimensions have been discussed in the book for further study. The book will be helpful for research scholars for advanced research.