A calculation is made of the acceleration of electrons during ionospheric modification experiments. The electrons are accelerated by Langmuir waves excited unstable by the parametric instability. It is emphasized that accelerations by Langmuir waves mainly take place at the bottom of the heated region, where the Langmuir waves are slowest and, consequently, the wave-particle interactions are strongest. The velocity distribution F of accelerated electrons is determined by a kinetic equation in which the effects of Langmuir wave turbulence are described by a stochastic wave diffusion tensor. Both resonant and resonant broadened wave-particle interactions, as well as the angular distribution of Langmuir waves, are important. The accelerated electrons are lost by convecting out of the modified region of the ionosphere. A steady state ensues when the production of accelerated electrons by turbulent diffusion is balanced by convective loss. The calculated steady state F is almost flat for a velocity range extending from 4&ngr;e to 8&ngr;e, with a few electrons accelerated to 10&ngr;e. The predicted maximum flux of accelerated electrons is about 2¿109 el cm-2 s-1 for conditions over Platteville, which is sufficient to account for the observed red line enhancements and the green line enhancements as well. The predicted flux for conditions over Arecibo is about 1/8 that for conditions over Platteville. Such a difference has been observed. The model also predicts that the accelerated electrons absorb between 10 and 30% of the transmitter power, depending on the ratio of transmitter power to the threshold power of the parametric instability near the bottom of the modified region.