Book-smart New Yorkers will cash in on this deal.

The city’s library cards can now be used to save big bucks at some of the priciest museums, with free admission at places like the Guggenheim and the Intrepid.

Beginning Monday, cardholders at the New York Public Library and the Queens and Brooklyn systems can go online and download daylong Culture Passes for free entry into 33 cultural institutions.

Participants include the Whitney Museum of American Art, the Frick Collection, the Morgan Library and Museum, the Brooklyn Botanical Garden and the Museum of Modern Art.

Anyone can log in their card number at Culturepass.nyc, select a date and institution and download passes for up to four guests.

“So you have a really great new offer for anyone with a New York Public Library card,” said NYPL president Tony Marx.

“The thinking was, here we are in the capital of the world with all of these cultural jewels that New Yorkers either don’t visit or don’t think they can afford to visit.”

The savings can add up. Entry is $25 for adults at the Whitney and MoMA and at the Brooklyn Museum, where the fee is suggested.

Other participating institutions include Manhattan’s Cooper Hewitt Smithsonian Design Museum and National Museum of the American Indian, Historic Richmond Town on Staten Island, the Noguchi Museum in Queens and Wave Hill in the Bronx.

Here’s the fine print:

Only a certain number of passes may be available for a given date. It’s recommended that passes be reserved as early as possible, although some may be available right away depending on demand and the institution.

A cardholder can have only two pending reservations at a time. But there is no limit to how many times one can use Culture Pass.

Upon arriving at the museum, garden or gallery, visitors need only show a printout or mobile-phone version of the pass to the ticket taker for entry.

The full list of participating institutions is available at Culturepass.nyc.