Urysohn width has been studied and investigated by many researchers over last few decades. In this thesis, I am going to prove the Urysohn 1-width bound for manifolds with positive biRicci curvature in dimension 4 and 5. The structure of this thesis operates as follow:Chapter 1 contains basic definitions and preliminary on Riemannian geometry. In chapter 2, we focus on the result by Balacheff and Sabourau (2010), Liokumovich and Zhou (2018) and Liokumovich and Maximo (2020) to present the existing results for the bound on Urysohn width in dimension 2 and 3 and then attempt for generalization. Chapter 3 consists of intermediate curvature property including the biRicci curvature. We will prove the bound for Urysohn 1-width for closed manifolds with positive biRicci curvature lower bound in dimension 4 and 5. Since estimate on stable minimal surfaces of manifolds with positive biRicci curvature plays im- portant role in proving the one width bound, in chapter 4, I introduce the μ-bubble method(based on Chodosh (2021)) which leads more discussion in manifolds with positive biRicci curvature lower bound in dimension 4 and 5. If we additionally assume that the manifold has nonnegative Ricci curvature, then we can prove that it has at most linear volume growth in chapter 5. In the end, I introduce Guth type width inequality and relevant questions.