The investigation results for the possibility of a pulsed inductive cylindrical discharge as a new method of pumping gas lasers operating at different transitions of atoms and molecules with different mechanisms of formation of inversion population are presented. The excitation systems of a pulsed inductive cylindrical discharge (pulsed inductively coupled plasma) in the gases are developed and experimentally investigated. At the first time, four kinds of pulsed inductive lasers on the different transitions of atoms and molecules are created. Characteristic features of the emission of pulsed inductive lasers are ring-shaped laser beam with low divergence and pulse-to-pulse instability is within 1%. Firstly, the red laser on the electronic transitions of atomic fluorine (FI) pumped by a pulsed inductive cylindrical discharge is developed. Lasing at 8 wavelengths in the spectral area 624-755 nm is obtained by exciting He-F2 (NF3,SF6) gas mixtures in a pressure range from 2.66-46.55 kPa. The energy of the FI laser is 2.6 mJ at pulse durations of 80 ns and the divergence is 0.4 mrad. Secondly,the far infrared laser on the vibrational-rotational transitions of CO2 molecules in the ground electronic state with a wavelength of 10.6 μm is created. The maximum energy of this inductive laser is 152 mJ at the pulse duration of 160 μs (FWHM). Thirdly, the pulsed inductive discharge H2 laser at the electronic transitions of hydrogen molecules in near IR laser is also developed. The laser action on four lines with 0.835 μm, 0.89 μm, 1.116 μm and 1.122 μm is obtained,and its pulsed peak power is 11 kW at duration of 20 ns.Furthermore, the pulsed inductive UV nitrogen laser on self-limited electronic transitions C3Πu→B3Πg at 337.1 nm and 357.7 nm is created,and its maximum generation energy is 4.5 mJ at low pressures 133 Pa and pulsed peak power is 300 kW at pulse duration (15±1) ns. The measured divergence of the inductive nitrogen laser radiation is 0.3 mrad.