I have a youth savings account for my children that I received a 1099 INT form. Do I file them under my name?

First of all, the income does not need to be reported if it is under $2,200.

 

If the income is more than $2,200 but not more than $11,000, you can report it on your tax return. 

 

You can read more about this here:

 

https://www.irs.gov/taxtopics/tc553