Oratio Super Electum Pontificem

After the Confiteor, the pope was seated on the sedia gestatoria, which was resting on the ground, and the three senior cardinal bishops approached him wearing mitres. Each in turn placed his hands above him and said the prayer, Super electum Pontificem (over the elected pope). 
First the Cardinal Bishop of Albano said:

Deus qui adesse non delignaris ubicumque devota mente invocaris, adesto quaesumus invocationibus nostris et huic famulo tuo Francisco quem ad culmen apostolicum commune iudicium tuae plebis elegit ubertatem supernae benedictionis infunde, ut sentiat se tuo munere ad hunc apicem pervenisse.

God, who are present without distinction whenever the devout mind invokes you, be present, we ask you, we and this your servant, N, who to the summit of the apostolic community has been chosen as the judge of your people, infuse with the highest blessings that he experience your gift who has reached this point.

Then the Cardinal Bishop of Porto said:

Supplicationibus, omnipotens Deus, effectum consuetae pietatis impende, et gratia Spiritus Sancti hunc famulum tuum Franciscum perfunde; ut qui in capite ecclesiarum nostrae servitutis mysterio constituitur, tuae virtutis soliditate roboretur.

We supplicate you, Almighty God, effect your customary devotion and pour out on this your servant, N, the grace of the Holy Spirit that he who is constituted at the head of our church as the servant of the mystery, you would strengthen with the fullness of virtue. 

Finally the Cardinal Bishop of Ostia said:

Deus qui Apostolum tuum Petrum inter caeteros coapostolos primatum tenere voluisti, eique universae Christianitatis molem superimpostuisti; respice propitius quaesumus hunc famulum tuum Franciscum quem de humili cathedra violenter sublimatum in thronum eiusdem apostolorum principis sublimamus: ut sicut profectibus tantae dignitatis augetur, ita virtutum meritis cumuletur; quatenus ecclesiasticae universitatis onus, te adiuvante, digne ferat, et a te qui es beatitudo tuorum meritam vicem recipiat.

God, who willed your Apostle Peter to hold first place in the inner fellowship of the apostles, that universal Christianity overcome evil, look propitiously we ask on this your servant, N, who from a humble position has suddenly been enthroned with the apostles on this same principal sublimity, that just as he has been raised to this exalted dignity, so may he likewise merit to accumulate virtue; in bearing the burden of the universal church, help him, make him worthy and for thee who are blessed may merits replace vices.