The Tartini Square (Slovene: Tartinijev trg, Italian: Piazza Tartini) is the largest and main square in the town of Piran, Slovenia. It was named after a famous violinist and composer Giuseppe Tartini, of whom a mounument was made in 1896.

The square was once an inner dock for smaller vessels such as fishing boats, and was located outside of the first city walls. In the Middle Ages the dock became surrounded by important buildings and palaces, because of which it became an important site of the town, however because of sewage which ended up there the officials decided to bury the dock and set up a real square there in 1894. Around the newly created platform various new buildings appeared, of which the only one that still has the original exterior is the gothic house named Benečanka. From 1909 to 1912 a trolleybus path was made which connected Piran to the trainstation in Lucija where the Parenzana railway was made which connected Trieste and Poreč with various other towns. After 1912 the trolleybus was replaced by the more efficient tram which was opeational until 1953 when it was abolished. After the tram railways were put away a huge renovation of the square occurred, when an ellipse platform was formed out of white stone, designed by arhitect Boris Podrecca.

Giuseppe Tartini (8 April 1692 – 26 February 1770) was an Italianbaroque composer and violinist.

Tartini was born in Piran, a town on the peninsula of Istria, in the Republic of Venice (now in Slovenia) to Gianantonio – native of Florence – and Caterina Zangrando, a descendant of one of the oldest aristocratic Piranian families.

It appears Tartini's parents intended him to become a Franciscan friar and in this way he received a basic musical training. He studied law at the University of Padua, where he became skilled at fencing. After his father's death in 1710, he married Elisabetta Premazone, a woman his father would have disapproved of because of her lower social class and age difference. Unfortunately, Elisabetta was a favorite of the powerful Cardinal Giorgio Cornaro, who promptly charged Tartini with abduction. Tartini fled Padua to go to the monastery of St. Francis in Assisi, where he could escape prosecution. While there he took up playing the violin.

Legend says when Giuseppe Tartini heard Francesco Maria Veracini's playing in 1716, he was impressed by it and dissatisfied with his own skill. He fled to Ancona and locked himself away in a room to practice, according to Charles Burney, "in order to study the use of the bow in more tranquility, and with more convenience than at Venice, as he had a place assigned him in the opera orchestra of that city".