Greece and the J. Paul Getty museum have signed an agreement for the return of two ancient treasures that Athens claims were illegally excavated and smuggled out of the country, officials said on Wednesday.

The artifacts - a 4th century B.C. gold wreath and a 6th century B.C. marble statue of a young woman - are the last of four antiquities successfully reclaimed by Greece from the Getty.

They will be handed over to Greek officials by the end of next month, under the deal signed in Athens late Monday by Greek Culture Ministry Secretary-General Christos Zachopoulos and Michael Brand, director of the private Los Angeles museum.

"This signing confirms the climate of trust and mutual understanding (between Greece and the Getty), and creates new prospects in their relations," the Culture Ministry and the museum said in a joint statement.

The signing follows an informal agreement in December for the works' return.

In September, the museum returned two stone sculptures dating to the sixth and the fourth centuries B.C. following pressure from Athens, which has launched an aggressive campaign for the return of looted Greek antiquities held in museums and private collections abroad.

These are on display at the National Archaeological Museum in Athens.