1. To formally express or lodge a protest or disapproval about something, typically in an official or legal context
The defendant decided to register objection to the court's ruling.
O réu decidiu registrar objeção à decisão do tribunal.
2. To make a formal complaint or opposition known in writing or on record
Several delegates chose to register objection during the international conference.
Vários delegados escolheram registrar objeção durante a conferência internacional.