In the work the formation of ordered structures from large number (~104) of charged diamagnetic dust particles in a cusp magnetic trap under microgravity conditions has been studied. The experiments were carried out onboard of International Space Station (ISS). Plasma dust structures were also investigated in cryogenic dc glow discharge – in cryogenic dusty plasma. The superhigh charging of dust particles under direct stimulation by an electron beam was analyzed in experiments. The results of the investigation of Brownian motion for strongly coupled dust particles in plasma are presented.