Merkel shook as she stood at a military honours ceremony alongside Finnish Prime Minister Antti Rinne outside the chancellery in Berlin, listening to the two countries' national anthems.
After greeting Denmark's new Prime Minister Mette Frederiksen at the portico of the chancellery, a smiling Merkel walked her over to a podium where both leaders took their seats before the anthems played.
On Wednesday, Merkel shook as she stood still alongside Finland's prime minister at the same spot. She suggested that the psychological impact of the first incident was responsible for the subsequent episodes.
"You can be sure that first of all I am aware of the responsibility of my office and therefore also act accordingly when it comes to my health".
Her office has given no explanation for the shaking episodes and Merkel herself has given no details of any medical advice or treatment she has been given. "Also as a person, I have a major interest in being healthy and I look after my health", said the chancellor who has her 65th birthday next week, quipping that every birthday made her aware that she was getting older.
Merkel said previous year that she won't seek a fifth term as chancellor and won't seek any other political job after her current term ends in 2021.
Nevertheless, leading Bavarian GP Jakob Berger stated that the chancellor should undergo urgent health checks: "Her doctors must now press for some research".
She said: "First of all I want to say something about the question about my health".
Manfred Guellner, head of pollster Forsa, said Merkel should be more transparent as many people looked to her for assurance in hard times and were unsettled.
"I am fine", she told reporters after her meeting with Rinne. "To talk about "working it through" is not really sufficient".
"I will have to live with it for a while now, but I am very well and people don't have to be anxious", she added.
Mass-selling daily Bild asked after Wednesday's third episode whether Merkel should say more about her health.
Medical experts have played down speculation about the shaking, saying there are multiple potential causes of tremor.
Merkel is renowned for her work ethic and has a reputation for outlasting other leaders at European Union summits with her ability to focus on the details of complex discussions deep into the night.
"My comments on this are done today, and I think my statement that I am fine can find acceptance", she said.
These continuing series of violent and uncontrollable shaking incidents will no doubt continue to sow doubts as to whether Chancellor Merkel actually remains in good health.
In videos of the event, she had problems keeping her arms and legs still, while she repeatedly attempted to clasp her hands to stop the vicious shaking.