Navigation is key for your websites users to be able to find their way around your website. Responsive design is unique in that you are supposed to provide your users with a consistent experience however the changing size of the website viewport means that one size does not fit all.
We look at the specific requirements on one level, two level, and multiple level navigation options and the kind of navigation that you will be working on depends on your current information architecture.
If you have a large and complex website that you are retro-fitting with a responsive design you will find the multi-level navigation helpful, however if you are going through a redesign/restructure of your entire website it is advisable to also visit re-visit your IA and because you might be able to make better use of the responsive design.