Light-cone distribution amplitudes (LCDAs) of baryons encode the nonperturbative internal structure of hadrons and play an essential role in understanding exclusive processes in QCD. However, their direct calculation from first principles remains a major challenge due to their inherently light-cone definition. In this work, we explore the framework of large-momentum effective theory (LaMET), which enables the extraction of baryon LCDAs from lattice-calculable quasi-distribution amplitudes (quasi-DAs). We present the one-loop matching between quasi-DAs and LCDAs for both octet and decuplet baryons. The study demonstrates that merely four distinct matching kernels are sufficient to characterize all leading-twist LCDAs in both octet and decuplet baryon configurations. These insights fundamentally support lattice QCD investigations targeting the derivation of light baryon LCDAs directly from first principle of QCD. The content of this conference paper is primarily derived from the work presented in our works~\cite{Deng:2023csv, Han:2024ucv}.