The effect of disorder on the static and dynamic behavior of one-dimensiona
l charge density waves at low temperatures is studied by analytical and num
erical approaches. In the low-temperature region the spatial behavior of th
e phase-phase correlation function is dominated by disorder but the roughne
ss exponent remains the same as in the pure case. Contrary to high-dimensio
nal systems the dependence of the creep velocity on the electric field is d
escribed by an analytic function.