Does vitamin D increase testosterone? Yes, it does, but if you supplement vitamin D, make sure you supplement vitamin K2 as well. Take a look at my video about vitamin D3 and K2:
References:
The 8 Best Supplements to Boost Testosterone Levels
Association of Vitamin D Status With Serum Androgen Levels in Men
Effect of Vitamin D Supplementation on Testosterone Levels in Men
Examine.com: How can you increase testosterone naturally?