Lava has a density of 3100 kg/m3 and a viscosity of 100-1000 Pa*s. While the difference in densities of lava and your body are sufficient to keep you from sinking, this does not translate into a solid surface. read more
Hence, running on lava, as long it is in its molten (liquid) state, is out of question. Edit - The above answer was written making the same incorrect assumption the question had made - that the person was in fact 'above' the surface of the lava. read more
We don't advise trying this yourself, but you can check this guy out as he retrieves molten souvenirs for tourists! read more