The main result of the paper is as follows. If \(f(x)\) is \(2\pi\)-periodic function of bounded harmonic variation, then for convergence of the conjugated Fourier series \(\widetilde S[f]\) at a point \(x\) it is necessary and sufficient that the integral \[ \widetilde f(x) = \int\limits_0^\pi \frac{f(x+t)-f(x-t)}{2\tan\frac{t}{2}}\, dt \] exists, which then represents a sum of the series \(\widetilde S[f]\).