In this paper, the secrecy outage probability (SOP) of an energy harvesting aided underlay single input multiple output cognitive radio network under the multiple eavesdroppers is investigated. It is assumed that all the channels within the network are subjected to Nakagami‐m distributions. In order to quantify the secrecy performance of the concerned network, two eavesdroppers' scenarios are considered and this includes: Colluding Eavesdropping and noncolluding Eavesdropping. Based on these, the SOP closed‐form expressions are derived for the network under the two scenarios. Our findings illustrate that the network under the noncolluding eavesdropping scenario achieve better secrecy outage performance compared with colluding eavesdropping mode. Furthermore, the impact of number of eavesdroppers N_e, the number of antennas equipped at eavesdroppers A_e as well as fading parameter of the wiretap channel m_e on the network secrecy outage performance are demonstrated. Finally, the accuracy of the derived expressions is validated through the Monte‐Carlo simulations.