Bloody-Disgusting spoke to producer Roy Lee, who suggested that The Ring 3 may get a go in a few years:

... as of right now the plan is to hold the film for a few years and go into the franchise "with a new fresh story," Lee tells Bloody-Disgusting. So the good news is that one day we might see the return of Samara! The original plan was to tell the origins of Samara in a similar fashion to the Japanese film Ring o: Birthday.
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Naomi Watts starred in the first two films.

Dont't forget to also check out: The Ring Two, The Ring