For any given symmetrizable Cartan matrix\$C$ with a symmetrizer\$D$, Geiss-Leclerc-Schr\"{o}er (Invent. Math. 209, 61-158 (2017)) introduced a generalized preprojective algebra $\Pi(C, D)$. We study tilting modules and support\$\tau$-tilting modules for the generalized preprojective algebra \$\Pi(C, D)$ and show that there is a bijection between the set of all cofinite tilting ideals of $\Pi(C,D)$ and the corresponding Weyl group \$W(C)$ provided that \$C$ has no component of Dynkin type. When \$C$ is of Dynkin type,we also establish a bijection between the set of all basic support $\tau$-tilting $\Pi(C,D)$-modules and the corresponding Weyl group\ $W(C)$. These results generalize the classification results of Buan et al. (Compos. Math. 145(4), 1035–1079 (2009)) and Mizuno (Math. Zeit. 277(3), 665–690 (2014)) over classical preprojective algebras. This talk is based on joint work with Changjian Fu.