  In this paper, we study the spectrality of infinite convolutions in
$\mathbb{R}^d$, where the spectrality means the corresponding square integrable
function space admits a family of exponential functions as an orthonormal
basis. Suppose that the infinite convolutions are generated by a sequence of
admissible pairs in $\mathbb{R}^d$. We give two sufficient conditions for their
spectrality by using the equi-positivity condition and the integral periodic
zero set of Fourier transform. By applying these results, we show the
spectrality of some specific infinite convolutions in $\mathbb{R}^d$.
