The Simple Answer: Three quotes compiled together, all found here: "I am strongly pro-life. . . . I can assure you life begins at conception. . . . The first thing we have to do is get the federal government out of it [abortion]. We don't need a federal abortion police."
Behind the Answer: Four long articles on Paul's stance on abortion can be found here, here, here, and here. Paul himself is pro-life, but he believes that the federal government should stay out of the issue of abortion. He believes that the states should decide whether or not to allow abortions. As a result of his mixed views on abortion, his voting record is similarly mixed. NARAL, which rated President Obama 100% pro-choice, gives Paul a 0% rating, indicating a firmly pro-life voting record. However, NRLC, which also gave Obama a pro-choice rating, gave Paul a 56% rating, indicating a mixed record on abortion voting. Prolifeprofiles.com (second "here" link in this section) is extremely harsh on Paul, placing him in their lowest tier of pro-lifers, which is reserved for those who are "pro-choice with exception." In summary, Ron Paul doesn't believe in federal regulation of abortion, even though he doesn't think that abortion is morally right.