Let ${\mathcal D(G)}$, ${\mathcal D}^L(G)={\mathcal Diag(Tr)} - {\mathcal D(G)}$ and ${\mathcal D}^Q(G)={\mathcal Diag(Tr)} + {\mathcal D(G)}$ be, respectively, the distance matrix, the distance Laplacian matrix and the distance signless Laplacian matrix of graph $G$, where ${\mathcal Diag(Tr)}$ denotes the diagonal matrix of the vertex transmissions in $G$. The eigenvalues of ${\mathcal D}^L(G)$ and ${\mathcal D}^Q(G)$ will be denoted by $\partial^L_1 \geq \partial^L_2 \geq \cdots \geq \partial^L_{n-1} \geq \partial^L_n=0$ and $\partial^Q_1 \geq \partial^Q_2 \geq \cdots \geq \partial^Q_{n-1} \geq \partial^Q_n$, respectively. In this paper we study the properties of the distance Laplacian eigenvalues and the distance signless Laplacian eigenvalues of graph $G$.