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In continuation of our recent work about smash product Hom-Hopf algebras in\cite{MLY}, we introduce Hom-Yetter-Drinfeld category $_H^H{\mathbb{YD}}$ viaRadford biproduct Hom-Hopf algebra, and prove that the Hom-Yetter-Drinfeldmodules can provide solutions of the Hom-Yang-Baxter equation and$_H^H{\mathbb{YD}}$ is a pre-braided tensor category, where $(H, \b, S)$ is aHom-Hopf algebra. Furthermore, we obtain that $(A^{\natural}_{\diamond} H,\a\o\b)$ is a Radford biproduct Hom-Hopf algebra if and only if $(A,\a)$ is a Hopfalgebra in the category $_H^H{\mathbb{YD}}$. At last, some examples andapplications are given.

A construction of Hom-Yetter-Drinfeld category