NinjectWebCommon implementation/translation - C# to F#
Your code seems like it's primarily plumbing. There are no algorithms or types that could be given the functional treatment. I have only two recommendations. 


Instead of NinjectWebCommon being abstract/sealed with static members you can make it a module with let-bound functions. 
_kernel in NinjectResolver is unnecessary because primary constructor parameters are available throughout the body of the type. So you can just reference kernel throughout instead.