The legislation was spearheaded by the two Kentucky senators and a handful of other Republicans and passed last week.
In the video, McConnell and Paul criticize the initial plans to build barriers around the dams, a plan officials said was informed by safety concerns, as "government overreach."
"The nanny state is on full display. Trying to tell us what we can do, where we can do it, how often we can do it, as if they're smarter than everyone," McConnell says in a portion of the video.
Paul, a Tea Party darling and ally of McConnell since he was elected to the Senate with his senior colleague's help, touts the minority leader's work holding back government.
"We do need to take control, you know, but we need to have Mitch McConnell to be the leader to do that," he says.
Text at the end of the video says that the bill "slows the overreach of the Obama administration … and ensures that Kentuckians can continue to fish at one of their favorite spots for generations to come."
The video will be targeted to Kentucky voters with hunting and fishing licenses.
McConnell is considered by Democrats to be vulnerable heading into reelection, as multiple polls have shown him below 50 percent support. He also faces a potential primary challenge from the right, as the Tea Party has long been dissatisfied with his tenure.
But neither Democrats nor conservatives have yet been able to front a candidate, and McConnell has taken steps to shore up his right flank, hiring Paul's former campaign manager Jesse Benton and appearing with Paul by his side in the state.
And without a Democratic candidate to challenge his record, McConnell has spent the initial leg of the campaign framing himself as a fighter for Kentucky, hoping that voters will see him independently of his leadership position in a Washington near-universally disliked nationwide.