Quadratic phase Fourier transform (QPFT) is a useful tool in signal processing and optics, which is a generalization of Fourier transform (FT), fractional Fourier transform (FrFT), and linear canonical transform (LCT). In this article, the multidimensional QPFT is introduced. Also, some important properties like asymptotic behavior and the real Paley-Wiener theorem of multidimensional QPFT are discussed.