Dr. `Abdul-`Azeem Al-Mat`ani, professor at Al-Azhar University, issues the following Fatwa: The majority of Muslim scholars maintain that taking an oath on the Qur’an is not considered an oath unless the one who swears intends that swearing by the Qur’an is tantamount to swearing by the Divine Being (Allah), and he cited his oath according to this very intention.
With this in mind, the oath is equal to swearing by Allah Almighty, and the person who swears has to either fulfil his oath or to make Kaffarah or expiation, if he does the thing upon which he swore not to do.
On the other hand, if the person swears on the Qur’an just with the intention of honouring the Qur’an and no more, then his oath is null and void.
The opinion which is believed to be the most correct is that the person who swears by the Qur’an is obliged to pay Kaffarah in order to be on the safe side.