1. 有严格道德标准的；道学先生的
If you describe someone as puritanical, you mean that they have very strict moral principles, and often try to make other people behave in a more moral way.

1. morally rigorous and strict

e.g. the puritan work ethic
puritanic distaste for alcohol
she was anything but puritanical in her behavior

Synonym: blue(a)puritanic

2. exaggeratedly proper

e.g. my straitlaced Aunt Anna doesn't approve of my miniskirts

Synonym: priggishprimprissyprudishsquare-toedstraitlacedstrait-lacedstraightlacedstraight-lacedtight-lacedvictorian

3. of or relating to Puritans or Puritanism