The author considers the boundedness for the multilinear on Triebel-Lizorkin spaces. He mainly proves that some vector-valued multilinear operators associated to certain fractional singular operators are bounded from \(L^p(\mathbb R^n)\) to some homogeneous Triebel-Lizorkin spaces. To prove the boundedness on Triebel-Lizorkin spaces, he establishes some size conditions of the operators for the sufficiency. It is also discussed that the boundedness is applied to Calderón-Zygmund singular integral operator and the fractional integral operator with rough kernel.