LS 5039 is a high-mass gamma-ray binary hosting compact object of unknown type. NuSTAR observed during its entire 3.9 day period. We performed periodic signal search up to 1000 Hz which did not produce credible period candidates. do see the 9.05 s candidate, originally reported by Yoneda et al. 2020 using same data, in Fourier power spectrum, but we find that statistical significance this featu...