In 2011, his works were showcased by Bengal Gallery of Fine Arts, Bangladesh, and Akar Prakar, Kolkata, in the show Wounds – Somnath Hore. His other posthumous exhibitions include Eight Bengal Masters – Miracles of Existence at Musée des Arts Asiatiques de, Nice, France; and Crossings: Time Unfolded II, Kiran Nadar Museum of Art (KNMA), New Delhi, 2012. Internationally, Hore also participated at the Warsaw Biennale of Graphic Arts, Poland, 1968; Sao Paulo Biennale, Brazil, 1963; and Venice Biennale, 1962.
He was recipient of several honours and awards, including multiple National Awards presented by the Lalit Kala Akademi in the 1960s. In 1984, he was conferred with the title of Professor Emeritus, Santiniketan.