I don't have experience with this directly, but I have friends/family that are in graduate school in both humanities and science fields. Most of the time (from doing research, about 95%), Humanities students get offered 1 year of fellowship (so you just take courses), then 2 years of TA-ing Funding (teaching), then the rest is either fellowship or TA-ing. However, humanities students tend to get paid a lot less than science/engineering students because they have less grant money available. It is pretty much what is allotted to the departments. That is why at some schools humanities grad students get paid $14,000, but science grad students will get double that.
Again, this is based off of family/friends and my own research when looking at funding packages across different fields.