In the internationally accepted SI system of measurement units, length is measured in terms of meters (or metres). Units derived from the meter such as centimeter, kilometer, millimeter are also used. In the United States, length is measured in Miles, Inches, foot, yard, etc.
Just a fun fact, in astronomy, large distances are measured in terms of light years (which is a unit of length and not time). Parsec is another unit used for measuring large distances.
The SI unit for mass is the kilogram (kg). Other units derived from the kilogram such as gram, milligram and tonne are also used. In the United States, mass is measured in pounds (lbs).
Some other units of length include atomic mass unit, solar mass (mass of our sun) and slug.