Jones began with three races in 1979. He debuted at Nashville Speedway USA in July, starting 28th. An engine failure would sideline him to 26th by the end of the race. It would not improve much for Jones, who fell out of the next two races at Bristol and North Wilkesboro to 29th. His 59th place in points would later prove to be his best, however.
Jones increased his schedule to four races in 1980, still driving the #69 Oldsmobile. He was able to finish two of the races during the year, with a 21st at Texas World Speedway and 22nd at Ontario Motor Speedway.
Jones' last start came in 1981 at Richmond, where Jones started last on the field (30th). However, by the end of the day, Jones had a career-best 20th place to show for it. It was his last NASCAR start.
Henry Jones died July 26, 2007 in Lebanon, Tennessee. He will be buried in Abilene, Kansas.