Don't let me down.

(What is the part of speech of 'down' in this sentence? And what is the meaning of 'down' here?)

To let someone down is an idiom.

http://idioms.thefreedictionary.com/let+down

The word "down" is an adverb, and in this sense it's part of an idiom, too. The whole idiom means to disappoint.

You can find more help with phrasal verbs and idioms here:

http://www.eslcafe.com/students/

In the sentence "Don't let me down," the word 'down' is used as an adverb. The word 'down' can have several meanings, but in this context, it is used to convey a feeling of disappointment or failure. It implies not wanting someone to disappoint or fail you in some way. To determine the part of speech, you can break down the sentence and identify the word's function within it. In this case, 'down' doesn't modify a verb or adjective, but rather the entire phrase 'let me down,' making it an adverb.