Hi, You can use Round-up herbicide on it. Just a note though, this sounds more like bindweed, a rogue relative of the morning glory. Morning glories can be invasive, but they are not generally this hard to get rid of. I bet you have bindweed, which is a nightmare to deal with and looks very much like morning glory. It took me forever to get rid of it in my garden and mostly I had to hand pull. No easy solution here, sorry.