We have examined the compensation processes in nitrogen doped ZnSe grown by molecular beam epitaxy. Two independent donor-acceptor pair emission processes have been observed in photoassisted grown layers and detailed temperature dependence measurements have allowed us to conclude that a deep compensation donor with a binding energy of 44 meV exists in more heavily doped material. We propose that the compensating donor is a complex involving a native defect such as the (V(Se)-Zn-N(Se)) single donor and this suggestion is supported by the observation of changes in the carrier concentration profile with time.