By signing New York’s new revenge-porn law Tuesday, Gov. Andrew Cuomo is finally allowing victims of these heinous online assaults a chance to stand up for their rights. But the fight is far from over, as tech companies will fight to avoid doing their duty.

The law makes it a Class A misdemeanor to share or publicize nude or sexually explicit images (understood to be private) as a means of inflicting “emotional, financial or physical harm,” with penalties up to a year in prison or a $1,000 fine.

Victims can also now file criminal and civil suits against their abusers, and ask courts to order Web sites to remove the nonconsensual images posted by third parties.

A group of companies spearheaded by Google long fought to stop the law, enlisting the Internet Association to lobby against it — successfully stalling for six years until Post coverage jolted the Legislature into action.

And the tech firms haven’t given up. They’re sure to argue that the law defies the federal Communications Decency Act of 1996, which absolves Web sites of responsibility for third-party content.

But the law doesn’t make Web publishers liable for revenge porn — it simply allows for judges to order particular illegal content taken done, just as sites now must do when, for example, the content is copyrighted.

It’s appalling that Big Tech would actually claim that free-speech rights extend to sexual exploitation.