Criminal is the brand name of a fashion line. Criminal's origins are on Fishman Island, the designer of the brand is Pappug. The line itself had been featured for many chapters prior to its official introduction and background. The awareness of its existence was made official to the readers when its designer was introduced. It is most often seen on the colourspreads.
The original logo is a star with a stitched slash through it and the word "Crimin" written underneath the star. However, since the timeskip, the logo has changed slightly. The star remains the same but instead of "Crimin" being written below it, the letters "C" and "R" are on the left and right side, respectively, of the top point of the star. There are also design variations, as the shirt Hatchan was wearing had the surrounded by a flame pattern. Criminal appears to make other products besides shirts, as Pappug was seen wearing a pair of sunglasses with the Criminal logo on the side.
On Fishman Island, Nami complained about how expensive the clothes were, due to them being a brand name and the clerk stated that 10,000 is below half the original price.