The hypothetical mechanism of electric field amplification at contact of positive and negative streamers in a streamer corona up to magnitudes required for the generation of runaway electrons and secondary Bremsstrahlung in the x-ray range, observed in long spark discharges in the open atmosphere, is analyzed. The development of two streamers, moving towards each other in interelectrode gaps of the centimetre range, is numerically simulated at applied voltages from 73 to 250 kV. It is shown that the size of the domain with strong electric field, with intensity sufficient for the thermal electron runaway, is of 1-2 mm. The mean field intensity in this domain increases up to magnitudes of ≈250-280 kV cm −1 . The maximum energy, to which electrons are capable of energizing in such field, is in the range of 20-70 keV. However, the electron energy is limited by an extremely small life-time of the strong field domain (less than 20 ps).