Frequencies of frequency standards are shifted by the local static gravity red shifts and also modulated by the tidal relativistic red shifts. We compute the tidal relativistic red shifts using a time-domain method and present the numerical results for the National Institute of Metrology (NIM) in Beijing, Laboratoire National de Métrologie et Essais-Systéme de Références Temps-Espace (LNE-SYRTE) in Paris and Physikalisch-Technische Bundesanstalt (PTB) in Braunschweig. The differences of the tidal relativistic red shift approach as large as 1.1×10⁻¹⁶ when frequency standards at NIM are compared with those at SYRTE and PTB. Moreover, the tidal relativistic red shifts of frequency standards in space stations are also computed.