A device for non-invasive determination of the arterial blood pressure of a human or animal body, comprising at least one bioimpedance measuring device having a plurality of electrode pairs (21, 22, 23) for detecting the admittance measuring signals (Y(t)) induced by an impressed alternating current on at least a first portion of the body, with the detected admittance measuring signals (Y(t)) corresponding to a sum signal made of signal components of a pulse admittance (Y p (t)), a respiratory admittance (Y B (t)) as well as a base admittance (Y 0 (t)), and at least one apparatus for non-invasive blood pressure measurement, wherein a computing unit of the device is designed for separating at least the signal components of the pulse admittance (Y p (t)) from admittance measuring signals (Y(t)) obtained by the bioimpedance measuring device by a plurality of electrode pairs (21, 22, 23) spaced apart relative to each other on at least a first portion of the body, wherein the measurements are performed repeatedly with electrode pairs each arranged differently on the body and/or at measuring frequencies different in each case, and for determining a scaling factor (k) and the arterial blood pressure (P C (t)) from pressure signals (P p (t)) of a second portion of the body spaced apart from the first portion, which pressure signals are obtained from the blood pressure measuring device, characterized in that the computing unit is furthermore designed for determining the arterial blood pressure (P C (t)) according to the following scheme: - measuring the plurality of admittance measuring signals (Y 1 (t), Y 2 (t)) on various body sites and/or at various measuring frequencies; - filtering the admittance measuring signals ((Y 1 (t), Y 2 (t)) by means of a high-pass filter so that the low-frequency components of the base admittance (Y 1,0 (t), Y 2,0 (t)) are separated and filtered admittance signals (Y 1,HP (t), Y 2,HP (t)) are obtained; - establishing sum equations which factor in proportional factors of the pulse admittance (Y P (t)) as well as the respiratory admittance (Y B (t)) at the filtered admittance signals: Y 1, HP t = k 1,1 ⋅ Y B t + k 1,2 ⋅ Y P t Y 2, HP t = k 2,1 ⋅ Y B t + k 2,2 ⋅ Y P t; - using a source separation algorithm for determining the proportional factors (k 1,1, k 1,2, k 2,1, k 2,2) as well as the source signal components of the pulse admittance (Y p (t)) and the respiratory admittance (Y B (t)) from the sum equations; - measuring pressure signals (P 1,P (t), P 2,P (t)) as reference pressure signals; - determining the scaling factor (k) and an offset value (d) so that the pulse admittance (Y p (t)) corresponds to the pressure signals (P 1,P (t), P 2,P (t)) measured as reference pressure signals; P 1, P t = k ⋅ Y P, Sys + d P 2, P t = k ⋅ Y P, Dia + d; - upon completion of the reference measurement, the arterial blood pressure (P C (t)) is determined continuously using the scaling factor (k) and the offset value (d) according to P C t = k ⋅ Y P t + d. - measuring the plurality of admittance measuring signals (Y 1 (t), Y 2 (t)) on various body sites and/or at various measuring frequencies; - filtering the admittance measuring signals ((Y 1 (t), Y 2 (t)) by means of a high-pass filter so that the low-frequency components of the base admittance (Y 1,0 (t), Y 2,0 (t)) are separated and filtered admittance signals (Y 1,HP (t), Y 2,HP (t)) are obtained; - establishing sum equations which factor in proportional factors of the pulse admittance (Y P (t)) as well as the respiratory admittance (Y B (t)) at the filtered admittance signals: Y 1, HP t = k 1,1 ⋅ Y B t + k 1,2 ⋅ Y P t Y 2, HP t = k 2,1 ⋅ Y B t + k 2,2 ⋅ Y P t; - using a source separation algorithm for determining the proportional factors (k 1,1, k 1,2, k 2,1, k 2,2) as well as the source signal components of the pulse admittance (Y p (t)) and the respiratory admittance (Y B (t)) from the sum equations; - measuring pressure signals (P 1,P (t), P 2,P (t)) as reference pressure signals; - determining the scaling factor (k) and an offset value (d) so that the pulse admittance (Y p (t)) corresponds to the pressure signals (P 1,P (t), P 2,P (t)) measured as reference pressure signals; P 1, P t = k ⋅ Y P, Sys + d P 2, P t = k ⋅ Y P, Dia + d; - upon completion of the reference measurement, the arterial blood pressure (P C (t)) is determined continuously using the scaling factor (k) and the offset value (d) according to P C t = k ⋅ Y P t + d.