Sukkah's lasting holiness in the home

מצות הסוכת נותנת ברכה והארת קדושה לדירת האדם.

The mitzvah of the sukkah grants a blessing and an illumination of kedushah (holiness) to a person's dwelling.

Dwelling in the sukkah does not only fulfill a mitzvah for the moment; it draws down a lasting blessing and holy light into the place where a person lives.

וזה למען ידעו דורותיכם כיון שהמצוה בדירה נשאר ממנה ברכה לדירת האדם [מזוזה מלבר וסוכה מלגאו ]:

And this is the meaning of "so that your generations shall know" - since the mitzvah is performed in a dwelling, a blessing remains from it for a person's dwelling [the mezuzah is from without, and the sukkah is from within].

Because the sukkah is itself a "home," its kedushah lingers in our homes for all generations. The Sefas Emes contrasts the mezuzah, which guards the house from the outside, with the sukkah, which sanctifies it from within - the sukkah's holiness penetrates and surrounds the very space of our living.

Summary: The mitzvah of sukkah, because it is fulfilled in a dwelling, leaves an enduring blessing and inner kedushah upon a person's home for all generations - sanctifying the home from within, much as the mezuzah guards it from without.