Ever since the discovery, nickelate superconductors have attracted great attention, declaring a “nickel age” of superconductivity. Currently, there are two types of nickelate superconductors: low-valence nickelate superconductors RE_n+1Ni_nO_2n+2 (RE, rare earth; n, number of adjacent NiO₂ layers) and high-pressure nickelate superconductors La₃Ni₂O₇ and La₄Ni₃O₁₀. Charge order plays a crucial role in studying the strongly correlated systems, especially the cuprate superconductors, in which potential correlation between charge order and superconductivity has been indicated. Thus, great efforts have been made to explore the charge order in nickelate superconductors. In the infinite-layer nickelate RENiO₂, the evidence of charge order with in-plane wavevector of Q _// ≈ (1/3, 0) has been found in the undoped and underdoped regime but not in the superconducting samples. However, subsequent studies have indicated that this is not the true charge order inherent in the NiO₂ plane,which carries unconventional superconductivity, but rather originates from the ordered excess apical oxygen in the partially reduced impurity phases. On the other hand, the overdoped low-valence nickelate La₄Ni₃O₈ shows well-defined intertwined charge and magnetic order, with an in-plane wavevector of Q _// = (1/3, 1/3). Resonant X-ray scattering study has found that nickel orbitals play the most important role in the multi-orbital contribution of charge order formation in this material, which is significantly different from the cuprates with oxygen orbitals dominating the charge modulation. Although the spin order in La₃Ni₂O₇ has been well established, there is still controversy over its spin structure and the existence of coexisting charge order. In La₄Ni₃O₁₀, intertwined charge and spin density waves have been reported, the origin and characteristics of which remain unknown. Owing to the research on the nickelate superconductors just starting, many questions have not yet been answered, and the exploration of charge order in nickelate superconductors will still be the center of superconductor research.