No. The products of nuclear fusion are not radioactive.
In my understanding, this is because a fusion reactor reacts deuterium to produce helium, which is not radioactive, whereas a fission uses uranium or plutonium, for example, which may react to form various radioactive isotopes. A fusion reactor may contain small quantities of tritium, in which case a radioactive isotope of hydrogen may be produced, but given that the majority of reactions occurring involve solely the deuterium, there is less radioactive waste produced.
You must realise that any claimed advantages are based on scientists predictions, and to some extent wishful thinking, as it is not even determined in engineering terms how a nuclear fusion plant could be built, what materials could be used, and how the heat would be extracted. However ever since fusion was proposed, scientists have been pointing out that it would produce much less radioactivity than fission does, and this is true, there would not be the spent fuel containing very highly active fission products that fission produces. There would be activation of structures in the plant due to the neutron irradiation coming from the plasma undergoing fusion. There are also consequences from needing to produce the tritium fuel, which is a dangerous substance to human health. So it all depends on future progress with ITER and further test rigs, but at the moment it is academic since it is very unlikely to happen within this century.
Most (but not all) fusion products are non-radioactive. Virtually all fission products are strongly radioactive beta or gamma emitters.
It is believed that it would produce only negligible amounts of radioactive waste and the oceans would be a near unlimited supply of fuel for it, unlike world supplies of Uranium-235.
Although the name suggests that the bomb solely uses nuclear fusion to create mass destruction, a Hydrogen bomb actually contains both fission and fusion fuels. Since fusion requires such a high energy input to initiate, a fission bomb is required to detonate the fusion component of the Hydrogen bomb, thereby releasing nuclear waste and radiation.
It doesn't produce radioactive byproducts.
Radioactive waste is a waste product containing radioactive material. It is usually the product of a nuclear process such as nuclear fission, though industries not directly connected to the nuclear power industry may also produce radioactive waste.
Nuclear fission involves splitting an atom and creates radioactive waste. Nuclear fusion involves bringing an atom together and creates no radiative waste
True. If fusion can be made to work in manmade equipment, for power production, (and this is not certain), there should be much less radioactive waste than for fission reactors. The product of the fusion, helium, is harmless. The engineering details of such a plant have not been established, but the energy produced will presumably be extracted from materials surrounding the reaction chamber which absorb the neutrons produced, so these materials will become irradiated and radioactive. Whether the structure will remain for the life of the plant or perhaps neutron absorbing materials have to be replenished from time to time is unknown, but obviously there will be some radioactive waste to be dealt with.
Nuclear waste is an unfortunate by-product of the process of nuclear fission for the purpose of energy production. The spent fuel rods are "safely" stored and sequestered, but will remain dangerous for thousands of years. As far as I know, there is no "purpose" for nuclear waste, other than to convince people that they do not want a power plant in their backyard. The theoretically possible process of nuclear fusion (which is how the sun works) would produce less radioactive material and waste.
Plenty of cheap fuel, and no radioactive waste.
In a proposed fusion power plant the fuels reacted would be a mixture of deuterium and tritium, that is isotopes of hydrogen with either one or two neutrons in the nucleus. These would produce helium as end product, plus energy release. Don't understand your last sentence.