Abstract: A Calabi-Yau fibration is a fibration of projective varieties X->Z such that the canonical bundle K_X is numerically trivial over Z. This class of varieties plays a significant role in algebraic geometry, appearing naturally in contexts such as good minimal models and elliptic Calabi-Yau varieties. In this talk, I will present some results on the boundedness of Calabi-Yau fibrations under certain natural conditions, based on joint work with Minzhe Zhu and Xiaowei Jiang.