The connective tissue that stores fat in the human body is called adipose tissue. This specialized connective tissue serves multiple functions, such as providing energy storage, insulation, and protection for organs. Adipose tissue is composed of adipocytes, or fat cells, which store lipids and release them as needed for energy. It also plays a role in hormonal regulation, influencing appetite and metabolism through substances like leptin and adiponectin. Excessive accumulation of adipose tissue can lead to obesity-related health issues, highlighting its importance in overall health.