Matthew Henry on 1 Timothy 2:1-2:
Here is a charge given to Christians to pray for all men in general, and particularly for all in authority. Timothy must take care that this be done. Paul does not send him any prescribed form of prayer... Paul thought it enough to give them general heads; they, having the scripture to direct them in prayer and the Spirit of prayer poured out upon them, needed not any further directions. Observe, The design of the Christian religion is to promote prayer; and the disciples of Christ must be praying people...
Pray for all men, for the world of mankind in general, for particular persons who need or desire our prayers. See how far the Christian religion was from being a sect, when it taught men this diffusive charity, to pray, not only for those of their own way, but for all men.
Pray for kings (v. 2); though the kings at this time were heathens, enemies to Christianity, and persecutors of Christians, yet they must pray for them, because it is for the public good that there should be civil government, and proper persons entrusted with the administration of it, for whom therefore we ought to pray, yea, though we ourselves suffer under them. For kings, and all that are in authority, that is, inferior magistrates: we must pray for them, and we must give thanks for them, pray for their welfare and for the welfare of their kingdoms, and therefore must not plot against them, that in the peace thereof we may have peace, and give thanks for them and for the benefit we have under their government, that we may lead a quiet and peaceable life in all godliness and honesty.
Here see what we must desire for kings, that God will so turn their hearts, and direct them and make use of them, that we under them may lead a quiet and peaceable life. He does not say, "that we may get preferments under them, grow rich, and be in honour and power under them;" no, the summit of the ambition of a good Christian is to lead a quiet and peaceable life, to get through the world unmolested in a low private station.