Problems connected with using of magnetron-injection guns (MIG) for beam-plasma microwave tubes are discussed. Some data ofcomputer modeling for such electron-optical systems (EOS) and proposals ofdesign based on scheme 'synthesis-technological electrodes-analysis" with dense beam geometrized theory application are given.Keywords: beam-plasma interaction, plasma filled travelling wave tube. slow wave structure, electron optical system, magnetron-injection gun, geometrized theory.I. At last time we observe significant progress in non-relativistic plasma microwave electronics. The non-relativistic Cherenkov's type beam-plasma microwave amplifier (plasma filled Travelling-Wave Tube, plasma TWT) based on hybrid slow-wave coupled-cavities structure with plasma-filled transit channel has been developed in All-Russian Electrotechnical Institute [I -5]. The hybrid plasma-cavity systems have both high interaction efficiency of plasma wave guides and possibility ofpractically full extraction ofthe microwave radiation from the plasma. Plasma TWT enhanced parameters are determined by efficiency ofbeain-plasma volume interaction, compensation ofspace-charge effect in dense electron beam and prolonged synchronism ofthe beam with hybrid electromagnetic waves.Plasma-filled coupled-cavity TWT amplifier is characterized by a combination of high efficiency (30%).wide bandwidth (up to 30%), high output microwave power (up to 20 kW) which are not available in a comparable vacuum TWT. The creation ofplasma TWT has demanded the solution ofa number ofphysical-technical problems. There are the design of electron beam (20 keV, 3 A) formation and transportation system in long narrow plasma-filled channel of hybrid slow-wave structure (diameter I .2 cm, length 40 cm); the design for gas-plasma-filled microwave device as sealed tube the gas-dynamic system which guarantees work gas pressure regulation in needed limits (1O&10 Torr) with help ofH2-generators and has the original build-in tube pumping system attached to electron gun: the design ofmicrowave power output system.The peculiarities and characteristics ofsuch devices are described in [1][2][3][4][5][6][7].