A hearing device comprising: an ear part configured for placement at least partly in the ear canal of a user; a set of microphones comprising a first microphone and a second microphone for provision of a first microphone input signal and a second microphone input signal, respectively, wherein the second microphone is arranged in the ear part; a voice detector module connected to the first microphone and the second microphone for processing the first microphone input signal and the second microphone input signal, the voice detector module configured to detect own-voice of a user of the hearing device, the voice detector module comprising an adaptive filter adapted for filtering the second microphone input signal; a processor for processing the first microphone input signal and the second microphone input signal for provision of an electrical output signal based on the first microphone input signal and the second microphone input signal; and a receiver for converting the electrical output signal to an audio output signal, wherein the voice detector module is configured to: determine if voice criteria are satisfied; and in accordance with at least two of a first voice criterion, a second voice criterion, and a third voice criterion being satisfied, notify detection of own-voice to the processor, wherein the voice detector module comprises a power analyzer for provision of a power parameter based on one or more input signals including the first microphone input signal, and wherein the first voice criterion is based on the power parameter, wherein the one or more input signals comprise an error signal based on the first microphone input signal and the filtered second microphone input signal, and wherein the first voice criterion is based on the error signal, wherein the second voice criterion is based on one or more filter coefficients of the adaptive filter, and wherein the voice detector module comprises a spectrum analyzer for provision of a first spectrum parameter (SP_1) based on the first microphone input signal, and a second spectrum parameter (SP_2) based on the second microphone input signal, and wherein the third voice criterion is based on the first spectrum parameter and the second spectrum parameter. an ear part configured for placement at least partly in the ear canal of a user; a set of microphones comprising a first microphone and a second microphone for provision of a first microphone input signal and a second microphone input signal, respectively, wherein the second microphone is arranged in the ear part; a voice detector module connected to the first microphone and the second microphone for processing the first microphone input signal and the second microphone input signal, the voice detector module configured to detect own-voice of a user of the hearing device, the voice detector module comprising an adaptive filter adapted for filtering the second microphone input signal; a processor for processing the first microphone input signal and the second microphone input signal for provision of an electrical output signal based on the first microphone input signal and the second microphone input signal; and a receiver for converting the electrical output signal to an audio output signal, determine if voice criteria are satisfied; and in accordance with at least two of a first voice criterion, a second voice criterion, and a third voice criterion being satisfied, notify detection of own-voice to the processor, wherein the voice detector module comprises a power analyzer for provision of a power parameter based on one or more input signals including the first microphone input signal, and wherein the first voice criterion is based on the power parameter, wherein the one or more input signals comprise an error signal based on the first microphone input signal and the filtered second microphone input signal, and wherein the first voice criterion is based on the error signal, wherein the second voice criterion is based on one or more filter coefficients of the adaptive filter, and wherein the voice detector module comprises a spectrum analyzer for provision of a first spectrum parameter (SP_1) based on the first microphone input signal, and a second spectrum parameter (SP_2) based on the second microphone input signal, and wherein the third voice criterion is based on the first spectrum parameter and the second spectrum parameter.