HAMSTR is a newly developed flow solver that utilizes Hamiltonian paths and strand grids for three-dimensional flows on overset and hybrid meshes. In order to use HAMSTR, it is required that one has a decent all-quad surface mesh; this is the motivation for the development of HAMSTRAN. It is an indirect method to create an unstructured all-quadrilateral 3D surface mesh and strand templates for each vertex. It transforms triangular as well as quad-dominant surface meshes into all-quad meshes, without any smoothing steps. The proposed method is fast and can work on highly complicated surfaces with lots of sharp features while producing a minimum number of irregular grids. HAMSTRAN is mostly based on the Q-Tran algorithm, but it has many advantages over Q-Tran. For example, HAMSTRAN is not only able to utilize an all-triangular mesh, but can also use quad-dominant and hybrid meshes as input and generate a decent all-quad mesh. After creating the surface mesh, HAMSTRAN proceeds to create the strand templates for each vertex. The strand templates are vectors extruding from the surface in the wall-normal direction without crossing each other. The direction of the vectors can be adjusted according to the 3D volume mesh required for the future flow solving process. Several examples will be presented to demonstrate the efficiency of this method, such as for airfoils, wings, rotor blades and fuselage.