The rockets hit Kilis, which has come under repeated fire from areas controlled by the Islamic State (IS) group in recent weeks.
Six people were hurt in the attack, which happened at around 1600 GMT according to the Dogan news agency.
Two of those wounded later died in hospital, it said. A government official was not immediately available for comment.
Kilis is the only town in Turkey where refugees from the war in Syria now outnumber Turkish locals. On Monday, rockets killed four Syrians there, including three children.
The rocket fire has drawn retaliation from the Turkish army over the past weeks, with shelling of IS-controlled areas.
Neither the Islamic State group nor the Al-Qaeda-affiliated Al-Nusra Front are included in a Syria truce brokered by the United States and Russia that came into force on February 27.
In mid-February, Turkish artillery also shelled targets of the Syrian Kurdish Democratic Union Party (PYD) inside Syria but there have been no further reports of such fire since the ceasefire came into effect last month.
