Nuclear fusion in reactors is caused by firing neutrons into a nucleus with a high atomic mass (e.g. uranium)
In nuclear fusion, the sum of the split nuclear masses is less than the original mass of the nucleus before it was split (mass deficit). From the mass-energy equivalence E=mc^2, the 'lost' mass is sent out as high energy photons (gamma radiation).
This energy is usually used to heat water, creating steam which moves some sort of turbine (or something to that effect)