If you have a new Lumia 1020, then there is a chance that the phone has been without any power for a long time and so the internal battery has been completely depleted.

Please plug in the supplied charger for at least 20 minutes. During the charging, you will notice the Win-key flashing.

Please note that using another source of power such as a laptop USB port is not recommended, as the power delivered may not be enough to fully charge the battery.