Summary: In this paper, we investigate the Cauchy problem of the \(d\) dimensional kinetic Cucker-Smale-Fokker-Planck equation with singular communication weight behaving like \(O(|x|)^{-\alpha})\) as \(x\to 0\). First, local existence of weak solutions with finite kinetic energy is established for \(0<\alpha <1\) if \(d=1\) and \(0<\alpha <2\) if \(d\ge 2\). Second, for \(0<\alpha <d\), we show that any initial datum with finite velocity moment of order \(\ge d\) launches a weak solution that propagates the initial velocity moment.
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