Experimental results on discharge initiation in a hollow-cathode plasma source of electrons are reported. The discharge is initiated by ions flowing out from the accelerating gap into the discharge region. The ions are generated by a high-voltage glowing discharge occurring in the accelerating gap at a pressure of more than 2 Pa and a voltage of no less than 2 kV. It is shown that an increase in the ion-electron emission coefficient, which can be raised by properly choosing the gas-metal pair, decreases the threshold ion current initiating the discharge at a fixed discharge voltage.