If I connect Ground wire of 220V to my Arduino GND and I set GND signal using Ground wire of 220V, will I burn my arduino card or it will work??
In theory there is no tension there, but I do not know if AC noises will destroy the board (or chip).
Technically, Arduino GND must be isolated (powered with an isolated DC supply) first, then it could be connected to the ground wire in an AC circuit. Noise on this wire will not affect the Arduino until other signals derived from AC get connected to the Arduino.
What's missing is your application ... measuring AC voltage? AC frequency? Zero cross detection? Other?
See TomGeorge's reply.
If you consider opto isolation (or other type of isolation), then you could avoid connecting GND to the Ground wire on an AC circuit.