How I can Connect my Arduino Board to my Android Mobile through Bluetooth

What is the program or what is the device good for my wireless connection .

First you might want to think about exactly what information you need to pass between the two devices.

Then have you tried Googling "Arduino Android Bluetooth"? It has been done before and there is a lot of good information already written and just waiting for you.

Steve

Bluino is a app that should work too. You can also connect your arduino straight to your phone with an OTG (on the go) cable if your phone supports that.

Thats how i put my new sketches on my arduino in the field

You might find the following background notes useful

http://homepages.ihug.com.au/~npyner/Arduino/GUIDE_2BT.pdf
http://homepages.ihug.com.au/~npyner/Arduino/BT_2_WAY.ino