Dagna \dag-na\ as a girl's name is a variant of Dagny (Old Norse), and the meaning of Dagna is "new day".

The baby name Dagna sounds like Dagne, Daina, Dana, Dayna, Danna, Daena, Dawna, Digna and Dahna. Other similar baby names are Dafna, Dalina, Dina, Deena, Agna, Dzana, Drena, Bogna, Canna, Dabny, Dalena, Dayne, Dania, Dane, Danay, Danah, Danae, Danea, Dany, Danny, Danni, Dani, Dannia, Dannah, Daphna, Dafne, Darina, Darnae, Davina, Dawn, Dawne, Deanna, Deona, Deana, Dayana, Dena, Denna, Dhana, Dhanna, Diana, Dyanna, Dyana, Dianna, Diahna, Danne, Dyna, Diona, Dona, Donna, Drina, Duana, Dwayna, Dwana, Duna, Duayna, Duena, Gana, Gayna, Signa, Tana, Taina, Tahna and Tawna.