A cigar box is a box placed on Colonel Klink's desk in his office where several cigars are kept, mainly for his personal use.
In several episodes in the series, either Colonel Hogan or Sergeant Schultz would try to take at least one cigar, with Colonel Hogan being more successful than Schultz. In a few other episodes, Klink would freely offer a cigar to either Hogan, or Schultz (as in the episode War Takes a Holiday, after Schultz informs Klink that he is actually the owner of the Schatze Toy Company) or to a visiting superior-ranked German officer (although he does shut the box on Major Hochstetter's hands when he tries to take a cigar in the afore-mentioned episode). Thet were Arturo Fuente brand cigars