Nikon D810A 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 D810A are the Nikon Micro-60mm f2.8D, the Carl Zeiss Makro-Planar T2/50 and the Nikon 28-70mm f2.8 ED-IF.
Nikon D810A doesn't have a sensor based image stabilization system but
71 of these lenses already comes with optical image stabilization.
Since Nikon D810A has a Full frame sensor, it has a focal length multiplier of 1× so lenses will provide their original focal length on D810A.
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Nikon D810A Lenses with Image Stabilization
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