The collection will be on display from June 14 to July 7.
Born in Glasgow in 1959, Mr Graham is a member of The Royal Institute of Oil Painters and The Royal Scottish Society of Painters in Watercolour.
He is regarded as one of Britain’s foremost modern colourists.
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He is mainly known for painting in a spontaneous, impressionist style, directly inspired by the shifting light conditions surrounding him.
Mr Graham said: “Sunlight flickering within a scene brings excitement and atmosphere, allowing me to offer unconventional contrasts where colours can deliberately present emotion or feeling.”
Toby Barlow, owner of Barlow Fine Art, said: “We are thrilled to secure a Norfolk exhibition from such an extraordinary artist.
“It is incredibly exciting for art lovers to be able to enjoy a rare chance to view a large collection of Peter’s remarkable paintings, here in our new space in Thornham.”
“Our space in Thornham has only been open a few weeks, and we have enjoyed wonderful support from the local community and businesses.
“We could think of no finer place to be, and no better exhibition to start with than the extraordinary works of Peter Graham.”
Although the gallery is open to visitors throughout the season on the Coast Road in Thornham, appointment bookings are recommended.
During the duration of the exhibition, the gallery will remain accessible to the public.
Further details about the exhibition can be found at barlowfineart.com, while information about the artist is available at petergraham.org.