Cylindrical casing filled with charge under eccentric point initiation is a kind of velocity enhanced warhead (VEW). The initial velocity distribution of fragments from VEW is a key issue in the field of explosive technology. Most of the formulas existed can predict the fragment velocity distribution from VEW with a single eccentric initiation point, but the fragment velocity distribution of the VEWs with double symmetric eccentric initiation points is not studied well. In this paper, a new formula is established to predict the radial distribution of the fragment velocities from VEW under double symmetric initiation points. Not only the maximum velocity gains, but also the velocity gains with azimuth angle can be calculated using this formula. The formula applies a correctional function in consideration of both the angle 2 phi between the two symmetric initiation points and the ratio of the mass charge to that of metal casing . Finally, the X-ray experiments were conducted to verify the formula established in this paper, and the predictions agree well with the experimental data. According to the comparisons between the calculated results from the formula and the published data, the formula also shows good agreement.