After Segar's death in 1938, many different artists were hired to draw the strip. Tom Sims, the son of a Coosa River channel-boat captain, continued writing Thimble Theatre strips and established the Popeye the Sailorman spin-off. Doc Winner and Bela Zaboly,^[4] successively, handled the artwork during Sims's run. Eventually, Ralph Stein stepped in to write the strip until the series was taken over by Bud Sagendorf in 1959.

Sagendorf wrote and drew the daily strip until 1986, and continued to write and draw the Sunday strip until his death in 1994. Sagendorf, who had been Segar's assistant, made a definite effort to retain much of Segar's classic style, although his art is instantly discernible. Sagendorf continued to use many obscure characters from the Segar years, especially O.G. Wotasnozzle and King Blozo. Sagendorf's new characters, such as the Thung, also had a very Segar-like quality. What set Sagendorf apart from Segar more than anything else was his sense of pacing. Where plotlines moved very quickly with Segar, it would sometimes take an entire week of Sagendorf's daily strips for the plot to be advanced even a small amount.

From 1986 to 1992, the daily strip was written and drawn by Bobby London, who, after some controversy, was fired from the strip for a story that could be taken to satirize abortion.^[5] London's strips put Popeye and his friends in updated situations, but kept the spirit of Segar's original. One classic storyline, titled "The Return of Bluto", showed the sailor battling every version of the bearded bully from the comic strip, comic books, and animated films. The Sunday edition of the comic strip is currently drawn by Hy Eisman, who took over in 1994. The daily strip began featuring reruns of Sagendorf's strips after London was fired, and continues to do so today.

On January 1, 2009, 70 years since the death of his creator, Segar's character of Popeye (though not the various films, TV shows, theme music and other media based on him) became public domain^[6] in most countries, but remains under copyright in the United States. Because Segar was an employee of King Features Syndicate when he created the Popeye character for the company's Thimble Theatre strip, Popeye is treated as a work for hire under U.S. copyright law. Works for hire are protected for 95 years from publication or 120 years from creation, whichever is shorter. Since Popeye made his first appearance in January 1929, and all U.S. copyrights expire on December 31 of the year that the term ends, Popeye will not enter the public domain in the U.S. until January 1, 2025 (assuming that no further term extensions are passed into law in the interim).^[7]