I am using ArcGIS 10.3 for Desktop.
I have 2 point features centroid and station. I want to snap all the points of centroid to the nearest point in station such that centroid is only snapped with points of station.
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You could try using the Snap tool, which needs either standard or advanced license level to snap your centroids to your station...
Another (older) way to do this is (in ArcMap, it's not so good in catalog except in model builder):
Add XY coordinates to your Station then Spatial join your centroids to your nearest station (within a distance). Now your joined points have all the attributes of centroid and station so Create Feature Class from XY Table either by right clicking on the table in catalog or Make Event Layer and saving/exporting with a tool like copy features or right click on layer and data/export.