Nikon D810 has a Nikon F lens mount and currently there are 316 native lenses available for this mount.
The latest released lenses that are compatible with the D810 are the Nikon Micro-60mm f2.8D, the Carl Zeiss Makro-Planar T2/50 and the Tokina 35mm f2.8 Macro DX.
Nikon D810 doesn't have a sensor based image stabilization system but
71 of these lenses already comes with optical image stabilization.
Since Nikon D810 has a Full frame sensor, it has a focal length multiplier of 1� so lenses will provide their original focal length on D810.
You may also also be interested in these:
Nikon D810 Lenses with Image Stabilization
Nikon D810 Lenses with Weather Sealings