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The present paper demonstrates the possibility of simultaneous generation of X-ray and THz radiation in a gas cluster jet of argon. The concept of developing of “X-ray-optical-THz” source of ultrashort pulse duration. We demonstrated that optimal conditions for THz and characteristic X-ray radiation in gas-cluster jets are different. This allows to control the ratio of values of simultaneously generated signals at THz and X-ray frequencies by means of changing the temporal delay between laser pulses and the moment of cluster stream formation, and also when changing chirp parameters of the exciting laser pulses. The diagram showing the direction of the generated THz radiation in the near-axial area represents the cone with semiapex angle of 3.7 degrees and the minimal value in the near-axial area of the beam. The angular area less than 15 degrees was studied.