Did Paul write the Epistle to the Hebrews? The authorship of the Epistle to the Hebrews is an open question. The common scholarly opinion is that the author certainly wasn't Paul.

Most modern Bible translations make no mention of the author, but some older ones such as the King James Version do:


  


Personally, I find it hard to believe that Paul would have written Heb 2:3-4. In his other letters, he always highlights himself as one of the apostles; here the writer has a very humble attitude and certainly doesn't count himself an apostle.


  Hebrews 2:3-4 (KJV)
  &nbsp;3How shall we escape, if we neglect so great salvation; which at the first began to be spoken by the Lord, and was confirmed unto us by them that heard him;
  &nbsp;4God also bearing them witness, both with signs and wonders, and with divers miracles, and gifts of the Holy Ghost, according to his own will?


Was Paul the author of Hebrews? What supports Pauline authorship?
Most hold that Hebrews was not authored by Paul because the style and form of the Greek is so good and fine, compared with the style of Paul's other, non-anonymous, writings. The style of Hebrews is almost as if it were a prepared sermon.

However, it would be hard to disagree that the contents (the theology and doctrine) agree perfectly with that of Paul's teachings. Hebrews sounds like something Paul would say, but the original Greek doesn't read like Paul usually wrote.

Origen, as quoted by Eusebius, had this to say...


  That the character of the diction of the epistle entitled To the Hebrews has not the apostle’s rudeness in speech, who confessed himself rude in speech, that is, in style, but that the epistle is better Greek in the framing of its diction, will be admitted by everyone who is able to discern differences of style. But again, on the other hand, that the thoughts of the epistle are admirable, and not inferior to the acknowledged writings of the apostle, to this also everyone will consent as true who has given attention to reading the apostle…. But as for myself, if I were to state my own opinion, I should say that the thoughts are the apostle’s, but that the style and composition belonged to one who called to mind the apostle’s teachings and, as it were, made short notes of what his master said. If any church, therefore, holds this epistle as Paul’s, let it be commended for this also. For not without reason have the men of old handed it down as Paul’s. But who wrote the epistle, in truth God knows. Yet the account which has reached us [is twofold], some saying that Clement, who was bishop of the Romans, wrote the epistle, others, that it was Luke, he who wrote the Gospel and the Acts


My personal feeling is, because the theology and doctrine matches Paul's other writings so perfectly, coupled with his knowledge of scripture gained by sitting at the feet of Gamaliel (Acts 22:3), that Paul was the author of Hebrews. Perhaps he had someone to assist him as he dictated, or perhaps he simply spent more time grammatically fine-tuning this particular epistle. But the spirit of the letter feels Pauline.