If you talking about theses concepts according to DDD (Domain Driven Design), I don't agree with neigher of the preceding answers.
As the author pointed out in his book,
A domain model does not have to be an object model. There are MODEL-DRIVEN
DESIGNS implemented in Prolog, for example, with a model made up of logical rules
and facts.
So a Domain Model is a representation of you domain rules based on any paradigm, not necessarly should it be Object, it could be any other paradigm, but the most important about it, is that it must make domain concepts and rules clear and separated from other technical aspects.
In conclusion, we can say that an Object Model is one of the representation forms of a Domain Model