English Whereas most of the key questions in particle physics are still addressed with accelerators, one sees at present an increasing activity in cosmic rays, based on the use of large and sophisticated detectors on the ground and underground (or under water). A new discipline, "astroparticle physics" is born and rapidly expanding. Whereas much of this research is carried out on Earth, it is likely that part of it will eventually transfer to space. The detection of gravitational waves is now attempted with a new promising vigor, using interferometers. This physics at present on the ground will have to extend to space. The talk reviews facts and trends in this research in fun damental physics from space now, but increasingly in space later on.