The verb await must have an expressed object. It is a transitive verb. To await is to wait for something that you expect to happen. I am awaiting her reply. They are awaiting the birth of their baby. Note that the object of await is usually an inanimate object. For example, we don’t usually await a person, but we can await their call or letter. I am awaiting her response. (BUT NOT I am awaiting her.) To wait is to stay in one place because you expect that something happen. Wait can be used without an object. We have been waiting for ages. I have been waiting for a bus for two hours. Before an object, we usually use wait for. The object of wait can be a person or an inanimate object. We are all waiting for you. (NOT We are all awaiting you.) (NOT We are waiting you.)

I just wanted to add one key point to the other answers: The verb 'await' is only used in formal and mainly written contexts. We usually only come across it in business letters and official signs and notices. 'Await' is not generally used in everyday English or in informal or conversational contexts. So, unless your job involves writing formal letters, you will probably never need to use this word.

Hey, Dikla! Here is a very well explained text: To wait means to not do an action until a future event or condition is met. It can also mean to be in a state of expecting something to happen in the future, but not taking action to make the event come sooner. Await is a verb that means to wait for something or to be waiting. Also, it can mean to have something in the future be waiting for you, or in other words, something is in store. Await has several obsolete and archaic definitions. It carries with it a general formal feeling or one of seriousness. Both words can be used with objects; however, if wait is used with an object it requires a preposition (e.g., I wait for the box vs. I await the box). Wait is the only one that can be used without an object. It is also used in many phrases with slightly altered meanings, like to wait up is to stay awake for some event, and if one can’t wait it means he or she is extremely excited. And the link: http://grammarist.com/usage/await-vs-wait/ I hope this helps!

He is awaiting her reply. But I have to wait for her. (I have to be somewhere and wait....)