No, works do not justify us.
The article JohnNC provided a link to above includes this:
“Catholic doctrine knows itself to be at one with the Protestant concern in emphasizing that the renewal of the human being does not contribute to justification, and is certainly not a contribution to which he could make any appeal before God. Nevertheless it feels compelled to stress the renewal of the human being through justifying grace, for the sake of acknowledging God’s newly creating power; although this renewal in faith, hope, and love is certainly nothing but a response to God’s unfathomable grace. Only if we observe this distinction can we say but we can then say in all truth: Catholic doctrine does not overlook what Protestant faith finds so important, and vice versa; and Catholic doctrine does not maintain what Protestant doctrine is afraid of, and vice versa.”
ewtn.com/library/ANSWERS/SOLAFIDE.htm
There is historical reason for the way both sides chose to phrase things. Mr. Akin points out that for Catholics, the word “faith” meant mere intellectual assent, and that by that definition, even Protestants would reject the phrase faith alone. On the Protestant side, what they were combating was what was seen as a corruption of the gospel to the point that faith was almost entirely excluded in favor of meritorious works and the buying of indulgences. As Philip Schaff put it:
“Piety which should proceed from a living union of the soul with Christ and a consecration of character, was turned outward and reduced to a round of mechanical performances such as the recital of Paternosters and Avemarias, fasting, alms-giving, confession to the priest, and pilgrimage to a holy shrine. Good works were measured by the quantity rather than the quality, and vitiated by the principle of meritoriousness which appealed to the selfish motive of reward. Remission of sin could be bought with money; a shameful traffic in indulgences was carried on under the Pope’s sanction for filthy lucre as well as for the building of St. Peter’s Dome, and caused that outburst of moral indignation which was the beginning of the Reformation and of the fearful judgment on the Church of Rome.”
ccel.org/s/schaff/history/7_ch01.htm
Even by the time of the Augsburg Confession in 1530, its article on Good Works was able to say, “4] Since our adversaries have been admonished of these things, they are now unlearning them, and do not preach these unprofitable works as heretofore. 5] Besides, they begin to mention faith, of which there was heretofore marvelous silence. 6] They teach that we are justified not by works only, but they conjoin faith and works, and say that we are justified by faith and works. 7] This doctrine is more tolerable than the former one, and can afford more consolation than their old doctrine.”
Mr. Akin pointed out that the Catholic understanding is that renewal of the human being does not contribute to justification, but is a response to God’s unfathomable grace. I think the Augsburg Confession said something very similar:
“27] Furthermore, it is taught on our part that it is necessary to do good works, not that we should trust to merit grace by them, but because it is the will of God. 28] It is only by faith that forgiveness of sins is apprehended, and that, for nothing. 29] And because through faith the Holy Ghost is received, hearts are renewed and endowed with new affections, so as to be able to bring forth good works.”
bookofconcord.org/augsburgconfession.php#article20