| 1962 | The Lonely Bull (El Solo Torro) / Acapulco 1922 | The Tijuana Brass featuring Herb Alpert | | 1 |
| 1963 | Mexican Corn / Let It Be Me | Herb Alpert’s Tijuana Brass | | 1 |
| 1963 | Spanish Harlem / A-ME-RI-CA | Herb Alpert’s Tijuana Brass | | 1 |
| 1963 | Mexican Corn / Surfin' Senorita | Herb Alpert & the Tijuana Brass | | 1 |
| 1963 | Rosenfest in San Salvador / Fiesta in Madrid | Herb Alpert’s Tijuana Brass | | 1 |
| 1963 | Struttin' With Maria / Marching Thru Madrid | Herb Alpert’s Tijuana Brass | | 1 |
| 1964 | El Presidente / All My Loving | Herb Alpert’s Tijuana Brass | | 1 |
| 1964 | Mexican Shuffle / Numero Cinco | Herb Alpert’s Tijuana Brass | | 1 |
| 1964 | Mexican Drummer Man / The Great Manolete | Herb Alpert & the Tijuana Brass | | 1 |
| 1964 | South of the Border / Up Cherry Street | Herb Alpert’s Tijuana Brass | | 1 |
| 1964 | The Girl From Ipanema / Hello, Dolly | Herb Alpert’s Tijuana Brass | | 1 |
| 1965 | Tijuana Taxi / Salud, amor y dinero | Herb Alpert & the Tijuana Brass | | 1 |
| 1965 | 3rd Man Theme / Taste of Honey | Herb Alpert and the Tijuana Brass | | 1 |
| 1965 | A Taste of Honey / Love Potion Number Nine | Herb Alpert’s Tijuana Brass | | 1 |
| 1965 | Mae / El Garbanzo | Herb Alpert and the Tijuana Brass with strings | | 1 |
| 1965 | Spanish Flea / Cinco de Mayo | Herb Alpert’s Tijuana Brass | | 1 |
| 1965 | The Third Man Theme / Bittersweet Samba | Herb Alpert’s Tijuana Brass | | 1 |
| 1965 | Whipped Cream / Las mañanitas | Herb Alpert’s Tijuana Brass | | 1 |
| 1965 | Zorba the Greek / Tijuana Taxi | Herb Alpert and the Tijuana Brass | | 1 |
| 1966 | Zorba's Dance / Up Cherry Street | Herb Alpert’s Tijuana Brass | | 1 |
| 1966 | A Taste of Honey / El Garbanzo | Herb Alpert & the Tijuana Brass | | 1 |
| 1966 | A Taste of Honey / Spanish Flea | Herb Alpert’s Tijuana Brass | | 1 |
| 1966 | Flamingo / So What's New | Herb Alpert & the Tijuana Brass | | 1 |
| 1966 | If I Were a Rich Man / Magic Trumpet | Herb Alpert and the Tijuana Brass | | 1 |
| 1966 | Mame / Our Day Will Come | Herb Alpert & the Tijuana Brass | | 1 |
| 1966 | Spanish Flea / Walk Don't Run | Herb Alpert & the Tijuana Brass | | 1 |
| 1966 | So What's New? / Brasilia | Herb Alpert & the Tijuana Brass | | 1 |
| 1966 | South of the Border (Al sur de la frontera, Vol. 1) | Herb Alpert y sus Tijuana Brass | | 1 |
| 1966 | The Work Song / Plucky | Herb Alpert & the Tijuana Brass | | 1 |
| 1966 | What Now My Love / Peanuts | Herb Alpert and the Tijuana Brass | | 1 |
| 1966 | What Now My Love / Spanish Flea | Herb Alpert and the Tijuana Brass | | 1 |
| 1966 | What Now My Love / I Will Wait for You | Herb Alpert & the Tijuana Brass | | 1 |
| 1967 | A Banda / Miss Frenchy Brown | Herb Alpert & the Tijuana Brass | | 1 |
| 1967 | A Banda / If I Were a Rich Man | Herb Alpert & the Tijuana Brass | | 1 |
| 1967 | A Taste of Honey / Mexican Shuffle | Herb Alpert, Herb Alpert & the Tijuana Brass | | 1 |
| 1967 | Casino Royale / The Wall Street Rag | Herb Alpert & the Tijuana Brass | | 1 |
| 1967 | Carmen / Love So Fine | Herb Alpert and the Tijuana Brass | | 1 |
| 1967 | Casino Royale / Don't Go Breaking My Heart | Herb Alpert & the Tijuana Brass | | 1 |
| 1967 | Carmen / My Heart Belongs to Daddy | Herb Alpert & the Tijuana Brass | | 1 |
| 1967 | Carmen / Magic Trumpet | Herb Alpert & the Tijuana Brass | | 1 |
| 1967 | Mame / Flamingo | Herb Alpert & the Tijuana Brass | | 1 |
| 1967 | Spanish Flea / Tijuana Taxi | Herb Alpert & the Tijuana Brass | | 1 |
| 1967 | The Happening / Town Without Pity | Herb Alpert & the Tijuana Brass | | 1 |
| 1967 | The Work Song | Herb Alpert & the Tijuana Brass | | 1 |
| 1967 | Wade in the Water / Mexican Road Race | Herb Alpert & the Tijuana Brass | | 1 |
| 1967 | Wade in the Water / Blue Sunday | Herb Alpert & the Tijuana Brass | | 1 |
| 1968 | Cabaret / Slick | Herb Alpert & the Tijuana Brass | | 1 |
| 1968 | The Christmas Song / My Favorite Things | Herb Alpert / Herb Alpert & the Tijuana Brass | | 1 |
| 1968 | The Mexican Shuffle / Mexican Drummer Man | Herb Alpert & the Tijuana Brass | | 1 |
| 1968 | Thanks for the Memory / Cabaret | Herb Alpert & the Tijuana Brass | | 1 |
| 1968 | Winter Wonderland / Jingle Bell Rock | Herb Alpert & the Tijuana Brass | | 1 |
| 1969 | Lollipops and Roses / Sweet Bitter Samba | Herb Alpert & the Tijuana Brass | | 1 |
| 1975 | Whistle Song (Whistlestar) / Carmine | Herb Alpert & the T.J.B. | | 1 |
| — | Rise / Third Man Theme | Herb Alpert & the Tijuana Brass | | 1 |
| — | South of the Border / All My Loving | Herb Alpert & the Tijuana Brass | | 1 |
