Use an axe to cut down the tree to a stump. Make the cut as smooth as possible to ensure maximum coverage of the herbicide. Remove all sawdust from stump surface.
Wet the stump surface entirely with herbicide if the stump is 3 inches or less in diameter. The tissues will conduct the chemical down to the roots. Glyphosate is among the recommended herbicides that may be used.
Treat only the 2 to 3 inches immediately next to the bark, if the tree is over 3 inches in diameter. This is the live tissue of larger trees, since the inner wood is dead and does not require treatment.
Apply herbicide to fresh cuts. If you have delayed application, recut the surface to expose fresh tree tissue prior to chemical application. Recommended treatment times are between late spring and early summer.
Remove dead stump by either grinding down about to 12 inches below the soil line or pulling out. For pulling, wrap trunk with a chain, hook to truck or tractor and pull out. However, grinding is the preferred method in urban areas, as cited by the University of Minnesota Extension. The stump may also be left alone as it is if you wish.