We present a detailed clustering analysis of the young stellar population across the star-forming ring galaxy NGC 6503 , based on the deep HST photometry obtained with the Legacy ExtraGalactic UV Survey ( LEGUS ) . We apply a contour-based map analysis technique and identify in the stellar surface density map 244 distinct star-forming structures at various levels of significance . These stellar complexes are found to be organized in a hierarchical fashion with 95 % being members of three dominant super-structures located along the star-forming ring . The size distribution of the identified structures and the correlation between their radii and numbers of stellar members show power-law behaviors , as expected from scale-free processes . The self-similar distribution of young stars is further quantified from their autocorrelation function , with a fractal dimension of \sim 1.7 for length-scales between \sim 20 pc and 2.5 kpc . The young stellar radial distribution sets the extent of the star-forming ring at radial distances between 1 and 2.5 kpc . About 60 % of the young stars belong to the detected stellar structures , while the remaining stars are distributed among the complexes , still inside the ring of the galaxy . The analysis of the time-dependent clustering of young populations shows a significant change from a more clustered to a more distributed behavior in a time-scale of \sim 60 Myr . The observed hierarchy in stellar clustering is consistent with star formation being regulated by turbulence across the ring . The rotational velocity difference between the edges of the ring suggests shear as the driving mechanism for this process . Our findings reveal the interesting case of an inner ring forming stars in a hierarchical fashion .