In 2008, a year after this paper was published (and this paper was denied by at least one journal, apparently), another paper was published showing the flaws in the statistical analysis of the 2007 paper. I couldn't find the full text of either paper, but I found a summary of the 2008 paper.
http://www.realclimate.org/docs/santer_etal_IJoC_08_fact_sheet.pdf
It also appears that you are overstating the conclusions of the 2007 paper. Again, I haven't found the full text of the 2007 paper, but it appears the only conclusions it made were that the predicted temperatures of various global climate models differed statistically from observed temperature data.
That conclusion is a far cry from showing " that climate warming is naturally cause and shows no human influence."