The books of the Bible are arranged as collections of related writings, and are not always in chronological order.

In order to read the story chronologically, you would read the books in the following order: (This is the listing of the Books of the Old Testament, which records history from God’s perspective before Jesus’ birth.)

Genesis
Exodus
Numbers
Joshua
Judges
I Samuel
II Samuel
I Kings
II Kings
Ezra
Nehemiah

Some of these books repeat elements that also exist in others, but this is the general story.
I & II Chronicles are a synoptic recap of the entire story from Genesis through II Kings.

Books not included in this list:
Leviticus – Detailed legal document listing the laws that the Nation of Israel was to be governed by.
Deuteronomy – The name means “second law” (from the Greek deuteronomion). It is a reiteration of the agreement between God and the Nation of Israel. It may well be called the Constitution for the Nation.
Ruth – The story of a family during the time of the Judges. The story also explains how Ruth, not an Israelite from birth, came to be a part of Jesus’ genealogy.
Esther – The story of Queen Esther, set in Persia (the capital, Susa) under King Ahasuerus (Xerxes), after Babylon had fallen. It fits the same general time frame as the books of Ezra and Nehemiah.
Job – Is sometimes included in the collection of the books of poetry described below. It is probably the most ancient story in the Bible, and would fit somewhere within the book of Genesis.

Collections of Books:
Poetry: These books are a collection of songs and proverbs largely associated with King David and King Solomon, though composed by various authors over a long period
Psalms
Proverbs
Ecclesiastes
Song of Songs

Prophets: These are prophecies recorded as messages, usually addressed to the kings ruling the Nation of Israel. The chronology of the kings is recorded in I & II Kings. Often the prophet is identified as writing during the reign of a certain king, and sometimes even the specific year of the king’s reign is identified.
In addition, the prophets also prophesy about the coming of The Messiah (The Great Deliverer, Savior, and Redeemer) anticipated from the promise God gave as early as Genesis 3:15. The New Testament declares Jesus as the Messiah.

Isaiah
Jeremiah
Lamentations
Ezekiel
Daniel
Hosea
Joel
Amos
Obadiah
Jonah
Micah
Nahum
Habakkuk
Zephaniah
Haggai
Zechariah
Malachi

There are two timelines you can open or download as PDFs. One shows the Timeline of the Old Testament. Open the PDF — it will display in your browser, and you can save it from there, or download it directly. It is also on the site as Old Testament Timeline.

The second is a Timeline of the Kings, indicating which king was ruling during the time of the prophets. Open the PDF, or download it directly. The chart also has a page of its own, with a full-resolution version and the same material as a searchable table: Kings and Prophets of Israel and Judah. This also shows which kings were wicked and which kings obeyed God’s instruction.