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Modern way of ECR multicharged ion sources development is connected with increasing of microwave frequency up to tens of GHz. Millimeter wave gyrotrons are used now in several laboratories. Traditional mirror magnetic traps with min B configuration for suppressing of MHD instabilities became too expensive because very strong magnetic fields are required. So prospection of axisymmetric plasma trap with MHD stabilization is quite relevant subject of modern plasma physics. The simplest trap of such kind is cusp one. The zero level of magnetic field in the center of the trap doesn’t allow to achieve a good confinement in classical regime. A gasdynamic regime of plasma confinement was studied in [1]. The same regime may be realized in the cusp geometry trap if plasma density is high enough.In present work a theoretical model of quasi‐gasdynamic plasma confinement in a cusp trap is developed. The possibilities of multicharged ion generation in a plasma confined in a cusp trap under the conditions of powerful EC...