about the high voltage capacitor found in charger circuit
And which i would to know is the capacitor role in that circuit, According to what I understood is that capacitor role is Cut down an amount of voltage by acting as closed circuit During capacitor charging,

No. The capacitor will charge to the peak mains voltage and is intended to maintain the DC voltage at a high enough value to allow the switching regulator to work during the low voltage periods of the mains voltage.

and if is correct i would to know about the others lines connected with capacitor positive line does current will flow to them during capacitor charging a cause of high voltage?

Current will flow of the following circuitry requires it. As drawn no current could flow as there is no return path.

because i know in low voltage no current will flow to any line with resistance until capacitor fully charged,

Incorrect. Current flow can be calculated by Ohm's law, V = IR or I = V / R. At a lower voltage a lower current will flow.

Tip: please learn to punctuate and capitalise your writing properly. Your question required several passess to understand it and I'm not sure that I've understood it correctly.