Render Wireframe and object

If you want to render it you need to make a material:

Add Default > Material and go to the Node editor
RMB Add Node > Textures > Wireframe
In Wireframe change Color 0 to white and Color 1 to black
Select Color output in Wireframe and drag it to the Transparency of Material
Set Specular to black and Index of refraction to 1
Apply the Material to the mesh and adjust the Line width