Whose name is picked from the bowl-hunger games?

The Hunger Games is a fictional series, and in the story, the names are drawn from a bowl for the annual Reaping.

The Reaping is a ceremony where one boy and one girl between the ages of 12 and 18 are selected from each district to participate in the Hunger Games.

So, the answer to your question is: The names of the tributes (the boy and the girl) are picked from the bowl at the Reaping.