An arrangement for alleviating a person's stress-related sleep disorder, especially for alleviating stress-related transient adjustment insomnia, wherein the arrangement comprises an apparatus which comprises a plurality of vibrator elements , mounted on the apparatus' one or more solid or flexible resonatable base members and being capable of converting an electrical impulse into a pulse of mechanical vibration, as well as a data processing unit with a capability of producing a control instruction for setting up an electrical impulse train by using the mechanical vibrator elements present on a first side of the apparatus , i.e. on an opposite side of the base member with respect to the person's body, for setting the base member to vibrate in resonance with said mechanical vibrator elements in such a way that the base member's second surface, which is opposite to said first side and closer to the person's body, transmits to the body or to a selected part of the body low frequency mechanical vibration consisting of successive pressure pulses of mechanical vibration, characterized in that the pressure pulses make up - a first vibration component , which comprises a plurality of successive soothing vibration cycles (1000; 1001, 1002, 1003 ...) transmitted to the body or said part of the body at successive time periods (T; T1, T2, T3 ...), which comprises low frequency successive pressure pulses , each pulse train (1000; 1001, 1002, 1003 ...) of which has a duration (T; T1, T2, T3 ...) of several minutes and a vibration frequency (f; fa, fb, fc..) which is constant within the range of 20-50 Hz through said duration of the pulse train (1000; 1001, 1002, 1003 ...), while the pressure oulses of the vibration are at the same time adapted to be such that the pressure pulses included in each pulse train (1000; 1001, 1002, 1003 ...) have a contact power (I) with said body part within the range of 40-70 dB, and - a second vibration component , which is transmitted thereafter to the body or to said part of the body and which comprises at least one second massaging vibration cycle , the pressure pulses included in said one second vibration component having a frequency (f) fluctuating within the range of 20-50 Hz, preferably within the range of 20-40 Hz, over the course of 2-10 seconds, preferably over the course of 5-7 seconds, and said frequency of the pressure pulses changes in accordance with sine, triangle or square wave, preferably in accordance with sine wave. - a first vibration component , which comprises a plurality of successive soothing vibration cycles (1000; 1001, 1002, 1003 ...) transmitted to the body or said part of the body at successive time periods (T; T1, T2, T3 ...), which comprises low frequency successive pressure pulses , each pulse train (1000; 1001, 1002, 1003 ...) of which has a duration (T; T1, T2, T3 ...) of several minutes and a vibration frequency (f; fa, fb, fc..) which is constant within the range of 20-50 Hz through said duration of the pulse train (1000; 1001, 1002, 1003 ...), while the pressure oulses of the vibration are at the same time adapted to be such that the pressure pulses included in each pulse train (1000; 1001, 1002, 1003 ...) have a contact power (I) with said body part within the range of 40-70 dB, and - a second vibration component , which is transmitted thereafter to the body or to said part of the body and which comprises at least one second massaging vibration cycle , the pressure pulses included in said one second vibration component having a frequency (f) fluctuating within the range of 20-50 Hz, preferably within the range of 20-40 Hz, over the course of 2-10 seconds, preferably over the course of 5-7 seconds, and said frequency of the pressure pulses changes in accordance with sine, triangle or square wave, preferably in accordance with sine wave. <EOS>