Bonds are made of energy. There are certain energy changes that occur during the making or breaking of bonds and this is called enthalpy changes. When a bod is broke, energy is required to break the bond, hence energy is taken in or absorbed when bonds are broken. This makes bond breaking an endothermic process.
However, energy is released when bonds are made. This causes a net production of energy, which in turn makes the reaction exothermic in nature. This is important because the net taking in or giving out of energy during chemical processes determines whether a reaction will occur spontaneously or not.