Basset Hounds are sweet, lovable, vocal and yes, stubborn. At least they appear to be stubborn-- actually, they are easy going and easily distracted by their powerful sense of smell, which can lead to perceptions they are stubborn. Understanding your Basset's natural inclinations and having the patience to find ways to work with your Basset will contribute to success getting him to listen to you.
These dogs are rarely aggressive or ill-tempered; if your Basset Hound is not listening to you it is more likely a product of lack of motivation to attend to you, greater interest in something else that has caught your dog's attention, or his natural inclination to vocalize. Bassets are prone to howling, part of their hunting dog heritage. You will need to ensure that you are more important than anything distracting your dog, such as howling or scenting, so that he is highly motivated to listen to you. How do you achieve this? Practice, and establishing that good things happen to those who listen!
The independent Basset Hound has a reputation for being harder to train than some more eager to please breeds. Training your Basset means understanding his motivation to use his nose and his need for establishing behaviors through repetition and strong leadership. Avoid punishment as a means of correction, as your sensitive Basset as he may not respond well to this form of correction. Instead, focus on direction when getting your Basset to listen to you by establishing a way to get his attention with leadership, signals, and commands. Ideally, you will start working with your Basset when he is a young puppy, to establish that your dog needs to attend and listen to you, older dogs can take longer to train. Having patience and using repetition works well with Basset Hounds, and success will come to those who persevere.