The field Composing/Arranging has categories that dedicate Grammy Awards to arrangers and composers of songs or albums. Currently there are five categories under this field, they are:
- Best Instrumental Composition - In 1962 the name was changed to Best Instrumental Theme or Instrumental Version of Song. 1965 saw the title being changed to Best Instrumental Composition (other than jazz) and finally in 1971 the Academy chose the name that is used even today, Best Instrumental Composition.
- Best Arrangement - The Grammy Award for Best Arrangement was first given out in 1959. It was awarded till 1962, in 1963 the award was split into two, Best Instrumental Arrangement Accompanying Vocalist(s) & Best Instrumental Arrangement.
- Best Instrumental Arrangement - The title of the award has had several changes since it was first given out, from 1963 to 1981 the award was known as Best Instrumental Arrangement.
- Best Instrumental Arrangement Accompanying Vocalist(s) - For the first two years since its inception it was known as Best Background Arrangement, in 1965 it was awarded as Best Accompaniment Arrangement for Vocalist(s) or Instrumentalist(s), from 1969 to 1978 and in 1981 it was awarded as Best Arrangement Accompanying Vocalist(s).
- Best Vocal Arrangement for Two or More Voices - The Grammy Award for Best Vocal Arrangement for Two or More Voices was first awarded in 1977. It was known as Grammy Award for Best Arrangement for Voices from 1977 to 1981. It was presented to the arranger of music. The award was retired in 1986.