There are several passages that provide qualifications for eldership.
It is a trustworthy statement: if any man aspires to the office of overseer, it is a fine work he desires to do. An overseer, then, must be above reproach, the husband of one wife, temperate, prudent, respectable, hospitable, able to teach, not addicted to wine or pugnacious, but gentle, peaceable, free from the love of money. He must be one who manages his own household well, keeping his children under control with all dignity (but if a man does not know how to manage his own house-hold, how will he take care of the church of God?), and not a new convert, so that he will not become conceited and fall into the condemnation incurred by the devil. And he must have a good reputation with those outside the church so that he will not fall into reproach and the snare of the devil (1 Timothy 3:1-7 NASB).
For this reason, I left you in Crete, that you would set in order what remains and appoint elders in every city as I directed you, namely if any man is above reproach, the husband of one wife, having children who believe, not accused of dissipation or rebellion. For the overseer must be above reproach as God's steward, not self-willed, not quick-tempered, not addicted to wine, not pugnacious, not fond of sordid gain, but hospitable, loving what is good, sensible, just, devout, self-controlled, holding fast the faithful word which is in accordance with the teaching, so that he will be able both to exhort in sound doctrine and to refute those who contradict (Titus 1:5-9 NASB).
On occasion, as the Lord leads, the Elder Council will ask for those men who feel called by God to step forward to investigate the possibility of entering the elder mentoring process. This process lasts up to two years. Successful candidates will be approved by the congregation after recommendation by the Elder Council.