The Bible is essentially a religious history. Even those who wrote the Bible made it clear it was not a secular history, even though secular events are referred to. It is a book about God and his relationship with man. That cannot be proven or dis-proven logically. It is a spiritual matter.
However, people and events mentioned in the Bible can be found in the historical writings of other nearby countries. Also, historical records of the Israelite nations other than the Bible prove the history of the Bible is correct.

The New Testament
The New Testament tells the story of the life of Jesus and the early days of Christianity, most notably Paul’s efforts to spread Jesus’ teaching. It collects 27 books, all originally written in Greek.
The sections of the New Testament concerning Jesus are called the Gospels and were written about 40 years after the earliest written Christian materials, the letters of Paul, known as the Epistles.
Paul’s letters were distributed by churches sometime around 50 A.D., possibly just before Paul’s death. Scribes copied the letters and kept them in circulation. As circulation continued, the letters were collected into books.
Some in the church, inspired by Paul, began to write and circulate their own letters, and so historians believe that some books of the New Testament attributed to Paul were in fact written by disciples and imitators.
As Paul’s words were circulated, an oral tradition began in churches telling stories about Jesus, including teachings and accounts of post-resurrection appearances. Sections of the New Testament attributed to Paul talk about Jesus with a firsthand feeling, but Paul never knew Jesus except in visions he had, and the Gospels were not yet written at the time of Paul’s letters.

Old Testament
The Old Testament is the first section of the Bible, covering the creation of Earth through Noah and the flood, Moses and more, finishing with the Jews being expelled to Babylon.
The Bible’s Old Testament is very similar to the Hebrew Bible, which has origins in the ancient religion of Judaism. The exact beginnings of the Jewish religion are unknown, but the first known mention of Israel is an Egyptian inscription from the 13th century B.C.
The earliest known mention of the Jewish god Yahweh is in an inscription relating to the King of Moab in the 9th century B.C. It is speculated that Yahweh was possibly adapted from the mountain god Yhw in ancient Seir or Edom.
Septuagint

Following conquest by Alexander the Great, the Hebrew Bible was translated into Greek in the 3rd century B.C.
Known as the Septuagint, this Greek translation was initiated at the request of King Ptolemy of Egypt to be included in the library of Alexandria. The Septuagint was the version of the Bible used by early Christians in Rome.
The Book of Daniel was written during this period and included in the Septuagint at the last moment, though the text itself claims to have been written sometime around 586 B.C.

Book of Revelation
The Book of Revelation is the final book of the Bible, an example of apocalyptic literature that predicts a final celestial war through prophecy. Authorship is ascribed to John, but little else is known about the writer.
According to the text, it was written around 95 A.D. on an island off the coast of Turkey. Some scholars believe it is less a prophecy and more a response to the Roman destruction of the Great Temple and Jerusalem.
This text is still used by Evangelical Christians to interpret current events in expectation of the End Times, and elements of it find frequent use in popular entertainment.