Physcial Science Hydrogen and oxygen are both non-metal which do not conduct electricity. When two elements react to form a new compound, chemical bonds are formed. There is no reason why the product of a chemical reaction should have the same properties of the reactants. As we all know, the physical and chemical properties of hydrogen ,oxygen and water are very different.
Pure water is a very poor conductor of electricity.
Yet when small amount of impurity such as sodium chloride dissolves in water, the water solution conducts readily. The electrical conductivity of an aqueous solution depends on the movement of solute ions through the solution. Such movement would account for the current.