Ground state and spin-wave spectrum of cubic magnets with the Dzyaloshinskii-Moriya interaction (DMI) such as M nSi and F eGe are studied theoretically. Following interactions are taken into account: conventional isotropic exchange, the DMI, anisotropic exchange, magnetic dipole interaction and Zeeman energy. In the classical approximation these interactions determine the helix wave -vector k and critical field Hc for the transition to the "ferromagnetic" spin configuration. This field depends on the sample form due to the demagnetization. The linear spin-wave theory is developed. The spin-wave spectrum depends strongly on the magnetic field. At H > Hc we have quadratic spectrum with the gap linearly increasing with the field. Below Hc the spectrum is gapless and strongly anisotropic. It is a result of incommensurate magnetic structure when the DMI breaks the total spin conservation law and umklapp processes appear connecting the spin-wave excitations with momenta q and q ± k with different energies. For q along k the spectrum is linear. For other q directions it have very complex form determined by solution of infinite set of linear equations connecting the states with q and q ± nk where n = 1, 2, .... Restriction to n = 1 gives six equations which general solution remains complex. For q ⊥ k there are two modes: one has the gap equal to Ak 2 √ 2 where A is the spin-wave stiffness at q ≫ k. The second is gapless and proportional to q 2 ⊥ . At q ⊥ ≫ k all branches merge and the anisotropy of the spectrum disappears. These results changes insignificantly in n = 2 approximation.The classical energy depends on the field component along the helix axis k only. However it is known experimentally that rather weak perpendicular field rotates the helix and its axis is settled along the field. This quantum phenomenon is a consequence of the umklapps too. The spin-wave spectrum is unstable at infinitesimal perpendicular field. If the gap ∆ is introduced the spectrum becomes stable if gµBH ⊥ < ∆ In this field there are the magnetization along H ⊥ and deformation of the helix. The gap appears due to cubic anisotropy and the spin-wave interaction considered in the Hartree-Fock approximation.Peculiar properties of the ESR and neutron scattering in the helical magnets are considered and possibilities of corresponding experimental studies are discussed.