Many types of containers will work fine for a comprehensive camping first aid kit, but try to find a medium to a large-sized plastic waterproof utility box.
From scrape to gash, bug bite to snake bite, all wounds received while camping should be treated promptly and with the utmost care to avoid infection.
Accidents happen, and In the event of a severe illness or some other unforeseen catastrophic incident, there are a few vital supplies that should be at hand.
Although the extreme case of a broken bone or sprain is somewhat unlikely, proper preparation will limit the severity of an incident.
Find a good camping first aid kit book and pack it along with the kit. Skim through it some beforehand, too, to decrease the time it takes to find vital information.