A Normal Force is a force applied in the direction perpendicular to the surface that the force is applied to. An example of this is putting pressure directly down on a table with your hand.
A Tension Force is a force applied in the opposite direction of the object the force is applied to. Tension Forces usually are applied by springs, ropes, and wires. An example of this is a wrecking ball hanging from a crane. There is a Tension Force on the wrecking ball holding it up in the air.
These forces are different from one another based on their directions that the forces are applied. Forces are vectors, so their magnitude is determined by the amount of force applied and their direction. Tension Force can be a Normal Force, but Normal Forces are not always Tension Forces.