Abstract We analyzed propagation characteristics of the HTS microstrip line, YBa2Cu3O7 -MgO-YBa2Cu3O7 structure, such as pico pulse response by use of the two dimensional time dependent Ginzburg-Landau equation in microwave, millimeter wave and THz region. Since as well known, the crystal structure of YBa2Cu3O7 was anisotropic, the anisotropic properties which gave large effect to propagation characteristics of the HTS microstrip line were taken into account in our analysis. We found that the HTS microstrip line made of a-axis oriented thin film would be the key component for analogue filter application in THz region.