For the vast majority of Bible believers the Pre-Tribulation Rapture is the doctrine that is their belief at this time.
Only about 5% of Bible believing Christians believe that there will be a Post-Tribulation Rapture. This shouldn’t be a surprise, because in America the Pre-Tribulation Rapture is what the pew warming Christian wants to hear and has been exposed to on Christian television. Books such as the “Left Behind” series have made a fortune off of this doctrine. The Pre-Tribulation Rapture is what has been taught in American churches since the 19th Century and is the only view some have ever heard. It is also the one that most middle of the road Christians like. So for most Christians it is the one they choose to believe. Few who call themselves Bible believing Christians actually read and study the Bible for themselves. Most Christians believe what others around them believe and what they are told to believe from the pulpit.
Historic Post-Tribulationlism was in fact that which was believed by the early Church Fathers such as Ireneaus (140–203), who as a disciple of Polycarp, who had been a disciple of the Apostle John. Also, Justin Martyr (100–165), and Papias (80–155). The historic Post-Tribulation view was a popular view amongst Protestant Christians until the rise of dispensationalism (concept of arranging of divisions in Biblical history) in the 19th century. Proponents of this Post-Tribulation view would include greats such as John Gill, Charles Spurgeon, and Francis Schaeffer. As there was no Christian teaching of a “secret rapture” before Darby began preaching about it in the 1830s, he is credited with originating the “secret rapture” theory wherein Christ will suddenly remove his bride, the Church, from this world before the tribulation.
The basic Scripture proving the Post-Tribulation Rapture timing is Matthew 24:29-31
But immediately after the tribulation of those days the sun shall be darkened, and the moon shall not give her light, and the stars shall fall from heaven, and the powers of the heavens shall be shaken: and then shall appear the sign of the Son of man in heaven: and then shall all the tribes of the earth mourn, and they shall see the Son of man coming on the clouds of heaven with power and great glory. And he shall send forth his angels with a great sound of a trumpet, and they shall gather together his elect from the four winds, from one end of heaven to the other.