Originally called Haft Chin (هفت چین), the Haft Sin has evolved over time, but has kept its symbolism. Traditionally, families attempt to set as beautiful a Haft Sîn table as they can, as it is not only of traditional and spiritual value, but also noticed by visitors during Norouzi visitations and is a reflection of their good taste.
The Haft Sin items are:
1.sabzeh - wheat, barley or lentil sprouts growing in a dish - symbolizing rebirth
2.samanu - a sweet pudding made from wheat germ - symbolizing affluence
3.senjed - the dried fruit of the oleaster tree - symbolizing love
4.sîr - garlic - symbolizing medicine
5.sîb - apples - symbolizing beauty and health
6.somaq - sumac berries - symbolizing (the color of) sunrise
7.serkeh - vinegar - symbolizing age and patience

While traditionally incorrect, sometimes a missing Sin is exchanged with another item starting with an S. For example:
•sonbol - the fragrant hyacinth flower (the coming of spring)
•sekkeh - coins (prosperity and wealth)
Other items on the table may include:
•traditional Iranian pastries such as baghlava, toot, naan-nokhodchi
•dried nuts, berries and raisins (Aajeel)
•lit candles (enlightenment and happiness)
•a mirror
•decorated eggs, sometimes one for each member of the family (fertility)
•a bowl with goldfish (life, and the sign of Pisces which the sun is leaving)
•a bowl of water with an orange in it (the earth floating in space)
•rose water for its magical cleansing powers
•the national colours, for a patriotic touch
•the Qur'an (some also use the Shahnama or the Divan of Hafez)

Read more about Iranian Norouz- related culture!

Hâjji Fîrûz
Samanu
Chaharshanbe Suri
Sizdah Bedar

Main Source: http://en.wikipedia.org/ Read this in Farsi