  We discuss the bi-local collective theory for the $\mathcal{N}=1,2$
supersymmetric Sachdev-Ye-Kitaev (SUSY SYK) models. We construct a bi-local
superspace, and formulate the bi-local collective superfield theory of the
one-dimensional SUSY vector model. The bi-local collective theory provides
systematic analysis of the SUSY SYK models. We find that this bi-local
collective theory naturally leads to supermatrix formulation in the bi-local
superspace. This supermatrix formulation drastically simplifies the analysis of
the SUSY SYK models. We also study $\mathcal{N}=1$ bi-local superconformal
generators in the supermatrix formulation, and find the eigenvectors of teh
superconformal Casimir. We diagonalize the quadratic action in large $N$
expansion.
