This review discusses the advancements in the field of tunable moiré materials for probing Berry physics and topology. Moiré systems, formed by stacking or twisting 2D materials with similar or different lattice constants, have emerged as a versatile platform for engineering bands and manipulating Berry curvature in momentum space. These systems offer tunable topological bands, large length scales, and low energy scales, providing unique opportunities for studying symmetry-breaking mechanisms and electron correlations. The review highlights the ability to tune electronic properties through various parameters, such as twist angle, electrostatic gating, and perpendicular electric fields, which enable the exploration of a wide range of phenomena, including the anomalous Hall effect, valley Hall effect, and nonlinear Hall effect. It also discusses the interplay between electronic interactions and topology, leading to the emergence of correlated insulators, superconductivity, and fractional quantum anomalous Hall effects. The review further explores experimental techniques, such as quantum electron transport and optical excitation, used to investigate Berry physics in moiré materials, and outlines future research directions, emphasizing the potential for novel devices and applications.This review discusses the advancements in the field of tunable moiré materials for probing Berry physics and topology. Moiré systems, formed by stacking or twisting 2D materials with similar or different lattice constants, have emerged as a versatile platform for engineering bands and manipulating Berry curvature in momentum space. These systems offer tunable topological bands, large length scales, and low energy scales, providing unique opportunities for studying symmetry-breaking mechanisms and electron correlations. The review highlights the ability to tune electronic properties through various parameters, such as twist angle, electrostatic gating, and perpendicular electric fields, which enable the exploration of a wide range of phenomena, including the anomalous Hall effect, valley Hall effect, and nonlinear Hall effect. It also discusses the interplay between electronic interactions and topology, leading to the emergence of correlated insulators, superconductivity, and fractional quantum anomalous Hall effects. The review further explores experimental techniques, such as quantum electron transport and optical excitation, used to investigate Berry physics in moiré materials, and outlines future research directions, emphasizing the potential for novel devices and applications.