This paper discusses the "Hubble constant measurement-mystery". Independent measurements of this cosmic parameter, referred to as H 0 in abbreviated form, have all led to different values, with the highest value ≈ 74 km•s −1 •Mpc −1 and the lowest ≈ 67 km•s −1 •Mpc −1 , where km denotes kilometer, s second and Mpc −1 megaparsec. These measurements have mainly been obtained with space telescopes. Apparently, up to now there was no way to explain the differences. However, previously published studies seem to regard the problem of the different measurement results for H 0 [1, 2]. I have shown that due to a symmetrical expansion of the Minkowski space (SMS), each respective frame of reference for an observer, who rests in the zero point of the frame, is converted into a state of apparent rest relative to the cosmic microwave background (CMB) radiation. This SMS-relativistic effect also seems to be responsible for the different measurement results of the Hubble constant, especially through space telescopes.