When you think about minimal design, navigation is not always one of the first things that comes to mind. This is partially due to the design itself. Many minimal designs actually hide some or all of the navigation to streamline the visuals.
For example, the often-debated hamburger icon, and related hidden navigation, is part of this conversation. The stacked icon that expands to a full list of menu items remains a popular design choice, especially in minimal frameworks and mobile UI.
A slightly different take on this icon is employed by Voltage New Media. Click the off-center hamburger icon, and it expands to a halfscreen style navigation menu. This style, which is often no more than a colored box containing a simple logo and list of link options, is extremely popular and growing. It works with the minimal style because you can strip plenty of "junky", but necessary elements from the main canvas in a way that users understand. (Love it or hate it, almost everyone understands how to use the hamburger menu.)The appearance of minimal navigation is growing in designs with more complex aesthetic patterns as well. All of these techniques are commonly featured in minimal designs and are simple to understand and use, even with more complicated website designs.