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Abstract. Mathematical modelling and computer simulation is performed for analysis of nanotriode characteristics in static mode. It is shown nanotriode has differential parameters, which significantly (by orders) differ from those characteristics of usual vacuum lamps, which, together with miniaturization significantly expands the possibilities of their use. IntroductionThe goal of this paper is to model characteristics of thin-film vacuum nanotriode (shown in figure 1) [1]. Thin-film vacuum nanotriode with cone-shaped emitters is considered. Each emitter has height 200 nm with 1 nm radius of surface curvature on the top. Current-voltage characteristics was calculated for single cylindrical triode cell (655 nm in diameter) in [1]. It was shown the value of the emission current comes to microamperes, when the voltage is less than 20 V applied on the anode-emitter gap 500 nm. Anode-cathode voltage 16-20 V can generate more than 0.5 mkA emission current flown to the anode when gate-cathode voltage is less than 14 V and gate diameter is 150 nm [1].To achieve the goal of this paper it is necessary to investigate the behaviour of differential parameters when changing the geometric dimensions of the triode structures operating in static mode. Electron transport processes are described using electrostatic approximation and hydrodynamic flow function for finite element solution [2][3][4].