Fans of "Descendants of the Sun" have been utterly hooked on the undeniable chemistry between Song Joong Ki and Song Hye Kyo. As a result, the duo has been rumored to have been dating since they met on the set of the military romance drama.

However, the on-screen couple has remained mum about their relationship status. However, several reports with photos of them looking very much like a real couple have been released online. Furthermore, the two were reported to be seen traveling together in Europe to celebrate Song Joong Ki's birthday.

Both Song Joong Ki and Song Hye Kyo's agency offered a few words to deny the rumored relationship of the two.

"It's definitely not true. It's ridiculous. We're just laughing about it," the agencies told the media.

Song Joong Ki also added that he and Song Hye Kyo are aware of these rumors.

"Hye-Kyo and I are both aware of those rumors, and we are really enjoying them. We even talk about them during company dinners. I think that the viewers think that because of the overwhelming positive response that the drama has gotten," actor Song Joong-ki said.

Meanwhile, the SongSong couple won big awards at the 2016 Korean Pop Culture and Arts Awards, which is an award ceremony recognized by the Korean government to the most important entertainers of the year.

"I am reminded of all the staff who worked hard...I was able to receive this award because of all the fans here and abroad. I will continue to work hard to win the hearts of drama viewers everywhere," Song Hye Kyo shared during her speech after receiving the award.

Song Joong Ki said he was glad to receive the award.

"I believe I am loved because of all the efforts of all the actors before me, and if I go back even further, it's because of our ancestors," the 31-year-old actor said. " I am filming 'Warship' which is about Koreans who were forced into labor on Hashima Island, and I became very serious about thinking about this...I am here because all the people who made sacrifices. I will work hard to advance the pop culture from where I am."

Fans were glad to know that their favorite couple had received the prestigious award. Moreover, one report claimed that the two have really literally transformed the entire landscape of Korean entertainment and culture, which makes both Song Joong Ki and Song Hye Kyo deserving of the award.