Creating a Bitcoin address to receive Bitcoin payments is done in a single click. The new address can be copied and given to anyone that wants to pay you. Note that once it's created, it is not possible to delete an address.
Open your Bitcoin software.
Click on Receive coins (on the top).
Click on New Address.
Type the name of the new address. This is just a personnal reminder for your to remind who is paying you with this address.
Your new address has been created and is ready to work!