The survey results were published by the Lietuvos Rytas daily on Saturday.
Asked to name politicians who represent their interests best, 15.9 percent named the president, significantly fewer compared to 23 percent last month and 26.2 percent in September.
Despite the plunge in Grybauskaitė's popularity, she remains the most popular politician in Lithuania, representing people's interests best.
Public trust in the Presidential Office itself has dropped as well. 48.1 percent said they trusted the institution, and 20.5 percent said they did not. In early October, the numbers were 62.1 and 13.4 percent respectively.
Future prime minister on the rise
Meanwhile Lithuania's future Prime Minister and leader of the Social Democratic Party, Algirdas Butkevičius, has seen his popularity skyrocket. 10.6 percent of people believe he represents their interests best, compared to 4.8 percent in October, according to the Vilmorus poll.
In a separate survey, Butkevičius' rating jumped even further. The future prime minister is rated positively by 52.3 percent of people surveyed, compared to 34.3 percent in October. 19.4 percent said they were not satisfied with the incoming head of the government. There were 25.8 percent of people with such an oponion in October. Meanwhile almost a third of people were indecisive about their evaluation.
Conservative leader, outgoing Prime Minister Andrius Kubilius and Speaker of the Seimas Irena Degutienė have managed to retain their popularity and even increase it slightly. 4.7 percent said Degutienė was the politician representing their interests best, and 4.5 percent voted for Kubilius.
Leader of the Labour Party, Viktor Uspaskich, received support form 6.5 percent of people and is fifth among the most popular politicians in Lithuania.
Trust in institutions
Public trust in the education system, the SoDra (State Social Insurance Fund), the Constitutional Court, the healthcare system has increased in Lithuania. Meanwhile fewer people trust the Presidential Office and the police.
50.7 percent trust the SoDra, compared to 46.7 percent in October. Public trust in the Constitutional Court is up, too - 41.7 percent from 32.3 percent in October.
45 percent trust the healthcares system, compared to 40.4 percent last month.
Meanwhile the President's Office saw a drop in public trust by as much as 14 percentage points to 48.1 percent from 62.1 percent.
44.7 percent trusted the Lithuanian police in October, and the rate was down to 39.4 percent in November.
Lithuanians still trust firefighters (89.5 percent) and the army (55.1 percent).