The Conservative leader offered an olive branch to party activists opposed to the same-sex marriage bill by promising there would be no more laws on social issues before the next election in 2015.
"If you are saying to me, 'Is this the first of many other issues like that?', no it isn't," Cameron told BBC radio, the day after the bill cleared a crucial parliamentary hurdle.
"The government now is going to be absolutely focused on the big picture, which is fixing our economy and reforming our welfare, making sure there are good schools for our children to go to," Cameron said.
He added: "To anyone who doubts the life there is left in the coalition, I would argue there is more to come. Very bold reforming and strong government, and that is what we will be right up till polling day."
More From This Section
Members of the House of Commons voted yesterday by 366 votes to 161 to back gay marriage, despite efforts by Tory MPs to derail the bill. It will now be debated in the House of Lords, the upper house of parliament.
Cameron admitted the issue "clearly divides the country" and "certainly divides the Conservative party", after 133 Tories voted against the legislation.
But he said there was "plenty of room" in his party for differing opinions, while stressing that it was right that Britain legislate for gay marriage just as France and New Zealand had recently done.
He added: "There will be young boys in schools today who are gay, who are worried about being bullied, who are worried about what society thinks of them, who can see that the highest parliament in the land has said that their love is worth the same as anybody else's love and that we believe in equality.