We study the dielectric properties ͑dielectric constant, loss and leakage current͒ of SiOC:H ͑silicon oxycarbide͒ thin films deposited by plasma-enhanced chemical vapor deposition from trimethylsilane ͑Dow Corning Z3MS gas precursor͒. The complex permittivity is studied from 0.01 Hz to 1 MHz as a function of temperature ͑room temperature to 115°C͒. The conductivity is studied as a function of the electric field, temperature, and time ͑current transients following application of bias͒. The films possess a low dielectric constant ͑around 2.8͒, which slightly decreases ͑from 2.88 to 2.82͒ when the frequency increases from 0.01 Hz to 1 MHz. The temperature dependence of the dielectric constant follows a Debye law ͑variation with 1/T, N 2 ϭ 4 ϫ 10 Ϫ32 C 2 m Ϫ1 , ϱ ϭ 2.46). Electronic, ionic, and dipolar polarizations contribute 0.93, 0.53, and 0.37 to the dielectric constant, respectively. The loss factor (Љ) is around 0.006 ͑dissipation factor tan ␦ ϭ 0.002). Application of a voltage step leads to current decays which persist up to at least 10 3 s. The current density is very low in these films ͑a few 10 Ϫ11 A/cm 2 at 1 MV/cm͒. Leakage currents are thermally activated ͑activation energy of 0.35 eV͒.