Ferromagnetic (FM) 2D material is known as a FM film with atomic thickness, which serves as a key component in high density data storage and spintronic devices. [1,2] The realization of a long-range FM order can result in new magnetic applications. However, according to the Mermin-Wagner theorem, [3] magnetic order would be suppressed by thermal fluctuations in 2D systems. The large magnetic anisotropy energy (MAE) is demanded for 2D materials to preserve magnetic stability from thermal fluctuations. [4-9] Therefore, pursuing 2D FM materials holding large MAE is one of the key researches in the field of magnetic materials for the magnetic memory and storage devices. [10-13] Recently, a new family of 2D early transition metal carbides and nitrides with MXene-like layer structures has attracted a lot of attention due to their potential applications in nanoscience. For example, Be 2 C, [14] Nb 2 C, [15] Mo 2 C, [16] Al 2 C, [17] and Ta 2 C [15] may be used in the electronics or superconductivity; V 2 C [18] has a potential application in electrode materials; Ti 2 C [19,20] may be used in electrochemical energy storage; Mo 2 C [21] can be applied as thermoelectric materials; Ta 2 C [22,23] have high-temperature applications and higher oxidation resistance; Cu 2 Si can be used in fundamental science and gas sensing. [24-26] And especially, Mn 2 C, [13] Cr 2 C, [27] Fe 2 Si, [28] N 2 Y, [29] Fe 2 C, [30] MnB, [31] Cr 2 N, [32] Ni 2 N, [33] Zr 2 Si, [34] and Ti 2 B [35] have been predicted to have intrinsic magnetism for the potential applications in nanospintronics. It is clear that those researches mostly take focus on the transition metal elements, whereas the rare-earth elements have been studied rarely. For magnetic materials, in principle, the rare-earth elements are pretty important compositions. [36-43] MXenes that contain the rareearth elements are thus worth further investigation. In this work, based on comprehensive density functional theory (DFT) calculations, we predict an intrinsic metallic ferromagnet in the family of MXenes, namely, Ce 2 C monolayer. The 2D Ce 2 C crystal has a Ce─C─Ce sandwiched layered structure, which shares the same configuration as the 1T-MoS 2 sheet. The ab initio molecular dynamics (AIMD) simulations and phonon dispersions indicate that Ce 2 C has an excellent stability. Our computation suggests that Ce 2 C is an FM metal with an estimated Curie temperature (T c) up to 72 K and a large spin-orbit coupling (SOC) effect. The MAE of 2D Ce 2 C crystal is larger than those of pure metal, such as Fe, Co, and Ni. These advantages make the 2D Ce 2 C sheet a very promising candidate for spintronic nanodevices. All the calculations were performed under the framework of DFT as implemented in the Vienna ab initio simulation package (VASP). [44-47] The Perdew-Burke-Ernzerhof (PBE) [48] exchange-correlation functional and the projector augmented plane wave (PAW) [49] pseudopotential were adopted in this article to describe the electron-electron and ion-electron interactions. An energy cutoff of...