Especially in his political work, his portraits betrayed the mind of an artist concerned, worriedly concerned, about the world in which he lived. Among his most famous images were those of President Lyndon B. Johnson pulling up his shirt to reveal that the scar from his gallbladder operation was in the precise shape of the boundaries of Vietnam, and of Henry Kissinger having sex on the couch with a female body whose head was in the shape of a globe, depicting, Mr. Levine explained later, what Mr. Kissinger had done to the world. He drew Richard M. Nixon, his favorite subject, 66 times, depicting him as the Godfather, as Captain Queeg, as a fetus.

Image A self-portrait of the artist and caricaturist David Levine. Credit... Forum Gallery

With those images and others  Yasir Arafat and Ariel Sharon in a David-and-Goliath parable; or Alan Greenspan, with scales of justice, balancing people and dollar bills, hanging from his downturned lips; or Chief Justice John G. Roberts Jr. carrying a gavel the size of a sledgehammer  Mr. Levine’s drawings sent out angry distress signals that the world was too much a puppet in the hands of too few puppeteers. “I would say that political satire saved the nation from going to hell,” he said in an interview in 2008, during an exhibit of his work called “American Presidents” at the New York Public Library.

Even when he wasn’t out to make a political point, however, his portraits  often densely inked, heavy in shadows cast by outsize noses on enormous, eccentrically shaped heads, and replete with exaggeratedly bad haircuts, 5 o’clock shadows, ill-conceived mustaches and other grooming foibles  tended to make the famous seem peculiar-looking in order to take them down a peg.

“They were extraordinary drawings with extraordinary perception,” Jules Feiffer said in a recent interview about the work of Mr. Levine, who was his friend. He added: “In the second half of the 20th century he was the most important political caricaturist. When he began, there was very little political caricature, very little literary caricature. He revived the art.”

David Levine was born on Dec. 20, 1926, in Brooklyn, where his father, Harry, ran a small garment shop and his mother, Lena, a nurse, was a political activist with Communist sympathies. A so-called red diaper baby, Mr. Levine leaned politically far to the left throughout his life. His family lived a few blocks from Ebbetts Field, where young David once shook the hand of President Franklin D. Roosevelt, who became a hero, as did his wife, Eleanor. Years later, Mr. Levine’s caricature of Mrs. Roosevelt depicted her as a swan.