A survey conducted for the Tamedia media group found 54 percent were not satisfied, 45 percent were satisfied and 1 percent had no opinion, the newspaper 20 Minutes reported.
The first part of the survey, released last Friday, showed 55 percent were also unhappy with the work of the federal houses of parliament.
The individual members of the government did not fare much better, with none achieving a rating as high as four out of six, the paper said.
The most popular member of the cabinet with a score of 3.94 was Alain Berset, who is also this year's president.
Elections fédérales: Alain Berset jugé le plus performant des sept Sages https://t.co/XdqcynOUSq— 20 minutes (@20minutesOnline) January 15, 2018
Last year's president Doris Leuthard was in second position, followed by Finance Minister Ueli Maurer.
Least popular of all was Economics Minister Johann Schneider-Ammann with 3.37 points.
The online survey was carried out from January 4th to 8th and more than 20,000 people across Switzerland were questioned.