As just stated in a recent question and answer, you can't inherit from a static class. How does one enforce the rules that go along with static classes inside VB.NET? Since the framework is compatible between C# and VB it would make sense that there would be a way to mark a class static, but there doesn't seem to be a way.
Module == static class
If you just want a class that you can't inherit, use a NotInheritable class. But it won't be static/Shared. You could mark all the methods, properties, and members as Shared, but that's not strictly the same thing as a static class in C# since it's not enforced by the compiler.
If you really want the vb.net equivalent to a C# static class, use a Module. It can't be inherited and all members, properties, and methods are static/shared.
If you just want to create a class that you can't inherit, in C# you can use Sealed, and in VB.Net use NotInheritable.
The VB.Net equivalent of static is shared.
From the CLR point of view, C# static class is just "sealed" and "abstract" class. You can't create an instance, because it is abstract, and you can't inherit from it since it is sealed. The rest is just some compiler magic.