der Gruß
greeting
A gesture, words, or a message with which you greet someone, say goodbye, or convey good wishes.
Bitte richte deiner Mutter einen schönen Gruß von mir aus.
Please give your mother my warm regards.

greeting
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greeting
A gesture, words, or a message with which you greet someone, say goodbye, or convey good wishes.
Bitte richte deiner Mutter einen schönen Gruß von mir aus.
Please give your mother my warm regards.

'Der Gruß' (greeting) is the noun for the verb 'grüßen' (to greet). A greeting is the result of the act of greeting someone.
Er bat mich, dich von ihm zu grüßen.
He asked me to give you his regards.
Common verbs used with 'Gruß' (greeting/regards) are 'einen Gruß ausrichten' (to pass on someone's regards) or 'einen Gruß schicken' (to send a greeting/regards).
Kannst du ihm bitte einen lieben Gruß von mir ausrichten?
Can you please give him my warm regards?
As a closing phrase in letters or emails, the word almost always appears in the plural and is combined with an adjective. Typical examples are 'Mit freundlichen Grüßen' (formal: Sincerely/Kind regards) or 'Viele Grüße' and 'Liebe Grüße' (informal: Best regards/Love).
Vergiss nicht, die E-Mail mit „Mit freundlichen Grüßen“ zu beenden.
Don't forget to end the email with 'Mit freundlichen Grüßen' (Sincerely/Kind regards).
congratulation
'der Glückwunsch' and 'der Gruß' can both be friendly words addressed to another person. However, 'Glückwunsch' is used for a special occasion, for example a birthday, wedding, or success. Very often, people say 'Glückwünsche' in the plural. 'Gruß' is more general: you can greet someone, pass on warm regards, or end an email with a sign-off. The words can be confused because both can contain good wishes. As a practical rule: for a success or celebration, use 'Glückwunsch'. For greetings, farewells, or messages, 'Gruß' fits.

Nach dem Gespräch hat sie ihrer Mutter einen lieben Gruß ausgerichtet.
After the conversation, she passed on warm regards to her mother.
Zum Geburtstag bekommt Lena viele Glückwünsche von ihren Freunden.
For her birthday, Lena receives many congratulations from her friends.