Wiktionary
n. (context baseball English) One of two areas beside home plate in which a batter is required to stand during an at bat.
WordNet
n. an area on a baseball diamond (on either side of home plate) marked by lines within which the batter must stand when at bat
Usage examples of "batter's box".
He takes his time fixing them while Matt Francke, the York batter, grows old and mouldy in the batter's box.
Looking next to the batter's box, Billy saw Conrad step up to the plate.
Her earlier belief that she would be saved just because Tom Gordon had gotten three outs in the top of the ninth was gone-might as well knock on wood, toss salt back over your shoulder, or make the sign of the cross before you stepped into the batter's box, as Nomar Garciaparra always did.
Mar go took it, positioned herself in the batter's box and kept her eyes on Jordan.
Joe, the Saints' first pitcher, promptly winged an overhand bean ball at Harlan Betchel, who staggered clear of the batter's box, pointing his bat accusingly at Joe.