Jean-Henri d'Anglebert (April 1, 1629 ? April 23, 1691) was a French composer and harpsichordist in the court of King Louis XIV of France.
He was the son of an affluent tradesman from Bar-le-Duc, from a musical family (his brother-in-law was the organist François Roberday). A pupil of Jacques Champion de Chambonnières, he succeeded his teacher as harpsichordist to the King after Chambonnières' disgrace in 1663 or 1664. This position was hereditary, and so passed to d'Anglebert's son after his death.
D'Anglebert's only published work, Pièces de clavecin, appeared in 1689. It has the distinction of being the first printed music in France to contain a table of ornaments together with their realizations. One of the pieces, Le tombeau de M. de Chambonnières, is a tribute to his late teacher. Alongside four original suites for harpsichord, it also includes transcriptions of works by his friend Jean-Baptiste Lully.