A hearing system (HS) comprising • a hearing device (HD), e.g. a hearing aid, configured to be worn by a particular user (U) at or in an ear, or to be fully or partially implanted in the head at an ear of the user, the hearing device (HD) comprising ∘ at least two microphones (M1, M2) for converting air borne sound in the environment of the hearing device to respective electric input signals (IN1, IN2), • a processor comprising ∘ an own voice analyzer (OV-A) configured to characterize the voice of a person presently wearing the hearing device based at least partly on said electric input signals, and to provide characteristics of said person's voice (VCH), and ∘ an own voice acoustic channel analyzer (OV-AC-A) for estimating characteristics of an acoustic channel for propagation of sound from the mouth of the person presently wearing the hearing device to the at least two microphones based at least partly on said electric input signals, and to provide characteristics of said acoustic channel of said person (ACCH), wherein said characteristics of said acoustic channel are based on a difference between said at least two electric input signals provided by two microphones of the hearing system when the signals originate from the person's own voice, and wherein the hearing system (HS) comprises a user identification unit (UID) configured to provide a user identification signal (User-ID) indicating whether or not, or with what probability, the person currently wearing the hearing device is said particular user (U) in dependence of said characteristics of said person's voice and said characteristics of said acoustic channel of said person. • a hearing device (HD), e.g. a hearing aid, configured to be worn by a particular user (U) at or in an ear, or to be fully or partially implanted in the head at an ear of the user, the hearing device (HD) comprising ∘ at least two microphones (M1, M2) for converting air borne sound in the environment of the hearing device to respective electric input signals (IN1, IN2), • a processor comprising ∘ an own voice analyzer (OV-A) configured to characterize the voice of a person presently wearing the hearing device based at least partly on said electric input signals, and to provide characteristics of said person's voice (VCH), and ∘ an own voice acoustic channel analyzer (OV-AC-A) for estimating characteristics of an acoustic channel for propagation of sound from the mouth of the person presently wearing the hearing device to the at least two microphones based at least partly on said electric input signals, and to provide characteristics of said acoustic channel of said person (ACCH), wherein said characteristics of said acoustic channel are based on a difference between said at least two electric input signals provided by two microphones of the hearing system when the signals originate from the person's own voice, and ∘ an own voice analyzer (OV-A) configured to characterize the voice of a person presently wearing the hearing device based at least partly on said electric input signals, and to provide characteristics of said person's voice (VCH), and ∘ an own voice acoustic channel analyzer (OV-AC-A) for estimating characteristics of an acoustic channel for propagation of sound from the mouth of the person presently wearing the hearing device to the at least two microphones based at least partly on said electric input signals, and to provide characteristics of said acoustic channel of said person (ACCH), wherein said characteristics of said acoustic channel are based on a difference between said at least two electric input signals provided by two microphones of the hearing system when the signals originate from the person's own voice, and <EOS>