Dear Barakaeli Lawuo,
Yes a water meniscus is concave.
"a concave meniscus occurs when the particles of the liquid are more strongly attracted to the container than to each other, causing the liquid to climb the walls of the container. This occurs between water and glass. A convex meniscus occurs when the particles in the liquid have a stronger attraction to each other than to the material of the container," as between mercury and glass in barometers.
Here is a diagram for you:
