But if you don't own, and the rent money doesn't go to you but rather to your landlord, then no, that isn't considered income.
When applying for a loan, you will typically provide
two most recent pay stubs or proof of sources of income
two most recent bank statements
two most recent tax returns
As well as other documents that your lender will require.
You should speak with a mortgage banker/broker to be preapproved -- and I suggest you do this before you even start looking for a property to buy. Knowing what you can afford, how much downpayment you will need, and what kind of loan you can get are all critical factors in your search.