Adrienette

LadyNoir is the het ship between Ladybug and Cat Noir from the Miraculous Ladybug fandom.

Canon
They have crushes on each other. Ladybug's secret identity is Marinette Dupain-Cheng and she likes Adrien Agreste but not Chat Noir. Adrien Agreste is secretly Chat Noir and has a crush on Ladybug but not Marinette.They are part of the "Love Square" being the other parts Adrinette(Marinette/Adrien), Marichat(Marinette/Chat Noir) and Ladrien(Ladybug/Adrien). Chat Noir is in love with Ladybug since the first day they met(As shown in Origins part 1 and 2), he always flirts with Ladybug during their missions, however she always rejects him and takes his advances as a joke due his flirtry nature.In season 2 Ladybug discovers that Chat's feelings for her are serious, so she tells him politely that she doesn't want to lie to him and that there is another guy she likes. Showing that she truly cares about him and doesn't want to hurt his feelings. They are great friends and a very good team, having a good chemistry ,being able to defeat villains easily when they are together, they always joke around and make puns. Despite of this they have had their differences, specially when Chat Noir wants to know about her true identity, Ladybug claims that knowing their true identities would be dangerous for both. On the other side when Marinette first met Adrien she wasn't very fond of him, specially because she tought he was as bad as Chloe, but when he lend her his umbrella and apologized for a misunderstanding she fell in love with him. Marinette is unable to pronounce words correctly when she is around him, she gets very nervous and clumsy, Adrien always treats her nicely and respectfuly, he always praises her specially because of her talent designing clothes but he only sees her as a good friend.

Fanon
Marinette often calls Adrien 'Kitty Cat' or 'Kitty' or some other cat related nickname.

Cat Noir calls Ladybug many nicknames including 'Bugaboo', 'M'Lady', or 'LB'

Fandom
AO3