Claudio Maria Veggio (born c. 1510) was an Italian composer of the Renaissance, principally of secular music.
Little is known about his life except for a brief period during the 1540s, when he was employed as a composer and harpsichordist for Count Federico Anguissola of Piacenza, at the Castell'Arquato.
Veggio was an early composer of madrigals, of which two books have survived, published in Venice in 1540 (the first to formally feature note nere under the name misura breve) and 1544, for four and eight voices respectively.
He was also a prolific keyboard composer of ricercars which alternate contrapuntal and highly ornamented passages.
Stylistically they represent an intermediate stage between the early keyboard style of Marco Antonio Cavazzoni and the style of his son Girolamo Cavazzoni, who composed ricercars in the more modern sense of the word — i.e., as a series of imitative sections.