It's not hard to drive right by.
But together with an adjacent aquarium, the museum features displays, an outstanding collection of artwork and a spectacular view of the river.
On any given day, that view might include salmon jumping a metre or more into the air, fly fishermen casting their lines, and bald eagles soaring overhead or swooping down for a salmon meal.
For the husband and wife team of Bev and Linda Gaston, it's a great place to go to work every day.
Linda is the museum manager, while Bev is a licensed guide on the river and offers an informative tour.
"Our museum not only tells the story of the salmon, but it also tells the story of the heritage of the people," Linda said.
"When you go through the museum you're going to learn all about the Atlantic salmon, what it looked like many years ago, what it looks like today, the trials and tribulations of the Atlantic salmon -- because it's an amazing creature," she said.
The walls throughout the museum are covered with photographs and a collection of paintings by artists such as Henry McDaniel and John Swan. There's also a well-stocked gift shop.
In the mid-1970s, the North American population of Atlantic salmon was about 1.6 million. It's now less than a third of that.
Many things have contributed to the decline, such as overfishing, dams, pollution and climate change.
One of the few areas where the population has begun to rebound is the Miramichi River.
There are no dams on the river to block the salmon as they return to spawn, and the majority of salmon caught here are carefully released.
As well, the museum and other groups have programs to restock the river and educate the public on the importance of conservation.
"We have what is called the Fish Friends Program, and schools all over the province can participate," Linda said. "They raise their salmon from eggs, (and) when their eggs become fry they come to the Atlantic Salmon Museum and we release them into the river."
"Of 200 fry that we put into the river, it's lucky if one of them survives, so that's why the program is so important."
The work being done at the museum is getting kudos from the Atlantic Salmon Federation.
"They do an excellent job," said Sue Scott, a federation spokesperson.
