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 (21, 21) 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 (21, 22) with respect to the person's body, for setting the base member (21, 22) to vibrate in resonance with said mechanical vibrator elements in such a way that the base member's (21, 22) 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 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 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.