<span style="font-family: 新細明體;">The scaling of earthquake source displacement spectra is analytically studied based on the continuous form of one-dimensional dynamical spring-slider model in the presence of either linearly slip-weakening friction or linearly velocity-weakening friction.</span> The main parameters of the model are the natural angular frequency, w<sub>o</sub>, and the (dimensionless) decreasing rate, <em>D</em>, of friction with slip (or the characteristic displacement) for <span style="font-family: 新細明體;">slip-weakening friction</span> as well as the (dimensionless) decreasing rate, <em>u</em>, of friction with velocity (or the characteristic velocity)<span style="font-family: 新細明體;"> for velocity-weakening friction. The analytic solution includes the complementary and particular parts. The former shows the travelling wave and the latter denotes vibrations at a site. The complementary solution exhibits </span><em>w</em><span style="font-family: 新細明體;"><sup>-1</sup> scaling in the whole range of </span><em>w</em><span style="font-family: 新細明體;"> for both friction laws. For the particular solution, slip-weakening friction results in spectral amplitudes only at three values of </span><em>w</em><span style="font-family: 新細明體;">. For velocity-weakening friction with </span><em>u</em><span style="font-family: 新細明體;">>0.5, </span>the log-log plot of spectral amplitude versus <em>w</em> exhibits almost <em>w</em><sup>0</sup> scaling when <em>w</em> is lower than the corner angular frequency, <em>w</em><sub>c</sub>, which is independent on <em>u</em> and increases with <em>w</em><sub>o</sub>. When <em>w</em>><em>w</em><sub>c</sub>, the spectral amplitude monotonically decreases with <em>w</em> following a line with a slope value of -1, which is the scaling exponent.