Growth depends on many different factors and although there isn't a specific age limit for everyone, experts believe that most people stop growing about the age of 20.
This does not ring true for astronauts however, who can experience an increase in their height by as much as 2 inches while they are in space. The reason for it is microgravity, a state of near weightlessness due to little gravity. When astronauts are in space, the lack of gravity allows their spine to expand and astronauts may return home several inches taller. It is not a permanent change however, as the pull of gravity eventually returns the spine to is previous state.
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