Summary: For a simple connected graph \(G\) with \(n\)-vertices having Laplacian eigenvalues \(\mu_1\), \(\mu_2, \dots, \mu_{n-1}, \mu_n=0\), and signless Laplacian eigenvalues \(q_1\), \(q_2,\dots, q_n\), the Laplacian-energy-like invariant (LEL) and the incidence energy (IE) of a graph \(G\) are respectively defined as \(\operatorname{LEL}(G)= \sum_{i=1}^{n-1}\sqrt{\mu_i}\) and \(\operatorname{IE}(G)=\sum_{i=1}^n \sqrt{q_i}\). In this paper, we obtain some sharp lower and upper bounds for the Laplacian-energy-like invariant and incidence energy of a graph.