depends on your point of view, but... it's not really absorbed in the strictest sence. by "freezing", i'm assuming you're intent is to say you are taking some substance, say water at room temperature, & then freezing it (lower it's temperature to or below the point at which the water becomes frozen).
what happens to the energy is, it is transferred out of the water, to somewhere else. if using a common refrigerator/freezer, the heat energy from the water is transferred to the air outside the frig, by use of gas compressor in the frig. a simpler way to look at it (but essentially the same thing... just a "one shot" in a sense) would be by using some compressed gas like liquid nitrogen & spraying the water with the liquid nitrogen. since liquid nitrogen boils at roughly -320 f (195.79 C), you would be transferring much of the heat energy stored in the water, into the liquid nitrogen, thus freezing it.
Energy is released during freezing.
When substances change state, energy is either absorbed or released. During melting and boiling, energy is absorbed to break the intermolecular forces holding the substance together, while during freezing and condensation, energy is released as these forces are formed. This energy change is due to the breaking or forming of bonds between molecules.
The three changes of state during which energy is absorbed is: conduction, convection, & radiation.
energy is released
Thermal.
The temperature of a substance can remain the same while absorbing energy if it is undergoing a phase change, such as melting or boiling. During a phase change, the absorbed energy is used to break intermolecular bonds rather than increase the kinetic energy of the particles, which keeps the temperature constant.
Energy is released during fusion and fission.
none. energy is lost and that is thermal
When water freezes, thermal energy is released from the water as it changes from a liquid to a solid. This released energy is responsible for lowering the temperature of the water to its freezing point and then further to form ice.
energy is absorbed
For example thermal energy.
light energy