Middle English, from Old French table, tabel "board, square panel, plank; writing table; picture; food, fare" (11c.), and also a survival of late Old English tabele "flat and relatively thin surface of some hard material," especially "writing tablet (of slabs of wood, etc.,), gaming table," also "top of an altar, part of a pavement;" in late Old English "tablet intended for an inscription." The Old English word is from Germanic *tabal (source also of Dutch tafel, Danish tavle, Old High German zabel "board, plank," German Tafel).
Both the French and Germanic words are from Latin tabula "a board, plank; writing table; list, schedule; picture, painted panel," originally "small flat slab or piece" usually for inscriptions or for games (source also of Spanish tabla, Italian tavola), a word of uncertain origin, related to Umbrian tafle "on the board."
The sense of "piece of furniture consisting of a flat top on legs" is by c. 1300. The usual Latin word for this was mensa (see mensa); Old English writers used bord (see board (n.1)).
Especially the table at which people eat, hence "food placed upon a table" (c. 1400 in English). The meaning "columnar arrangement of words, numbers or other figures on a tabular surface for convenience" is recorded from late 14c. (as in table of contents, which is from mid-15c.).
The figurative phrase turn the tables (1630s) is from backgammon (in Middle English the game was called tables). Table talk "familiar conversation around a table" is attested from 1560s, translating Latin colloquia mensalis. Table manners is from 1824. Table-hopping is recorded by 1943. For under the table see under (prep.). Table-wine, suitable for drinking at a meal, is by 1670s. Table tennis "ping-pong" is recorded from 1887. Table-rapping in spiritualism, supposedly an effect of supernatural powers, is from 1853.