The director came on board after Phil Lord and Chris Miller left the project.
The 63-year-old filmmaker took to Twitter where he posted couple of photographs and a video from his first day on the shoot location of the yet-to-be-titled film.
"Cool scene today but I'm afraid this is the most revealing image I dare share from my first day on the set of the untitled Han Solo movie," wrote Howard, alongside an image that shows a blue-carpeted floor with wires and a stack of water bottles.
The Oscar-winning director has already begun work on the project, with shooting set to resume from July 10.