Where can I find the prayer for concluding the Quran?

There is no specific supplication for completing the Quran that has been authentically reported from the Prophet, peace and blessings be upon him. However, it is recommended for a Muslim to supplicate with whatever good he desires for this world and the hereafter after reading it, and to ask Allah of His bounty. It has been reported from Anas ibn Malik, may Allah be pleased with him, that he used to gather his family and supplicate with them upon completing the Quran.