Here is another link where I discuss the chronological order of the books of the Bible and give more details: I would be happy to answer - to the best of my ability - any questions you might have about the dates of individual books.You can find a list of related links on the following page: BB 7: Bibliology.
The earliest and best semi-complete manuscript of the New Testament, codex Sinaiticus, places Hebrews before Paul's pastoral epistles, and Acts comes before James. There is also the question, when you say chronological order, of whether the date of the events described or the date of writing is meant - and there can be a wide divergence (as with Moses relating of the earliest events of mankind in Genesis).For many of the books of the Bible we are only able to give approximate dates.Psalms, for example, was written by a variety of authors and spans at least several generations beginning with David.A good study Bible such as The NIV Study Bible or a commentary will lay out the various lines of evidence for the dating of the books. Why do the four Gospels seem to present a different message of salvation than the rest of the New Testament? New Testament (n.b., this is a "higher chronology" than you will find elsewhere = dates are earlier; numbers in bold represent the traditional New Testament English order; parenthetical bold numbers are the traditional order in the Bible overall): series (wherein a verse by verse exegesis of the entire book).