The aim of this thesis is the investigation of a special class of locally convex cones which are called bornological cones. These structures are locally convex cones on them every u -bounded linear operator is continuous. We introduce the uc -cones and prove that every bornological locally convex cone is the inductive limit of this structures. With the help of the results obtained from the investigation of bornological cones, we define the concept of bornological convergence in locally convex cones. We define the concepts of solid sets in locally convex cones and order bornological locally convex lattice cones. Also, we investigate the completion of a locally convex cone, locally convex quotient lattice cones and locally convex quotient complete lattice cones