How to report a foreign Postdoc fellowship?

[pk]

@_Maria_ , then the treatment should be the same --- the Publication 970 referred to by @DaveF1006  is a good  source for separating out  taxable / reportable  income from  that not required to be reported.   I am assuming here  that the  fellowship grant comes to you directly  and not through  the  institution that you are affiliated with -- so keep all documents  regarding this , just in case IRS wants to see.  

Is there more I can do for you ?

stay safe

[_Maria_]

thank you for the reply, 

I don't quite understand the comment that the grant is paid directly to me. I receive it through a German research institute,  which I am affiliated with. They do not provide any tax forms as the grant is tax free, I have only pay checks.