Soviet leader Mikhail S. Gorbachev is increasingly popular in Britain, France and West Germany, but only about half of those polled there by the U.S. Information Agency believe he has done much to improve human rights in his country.

"A majority of those in France (59 percent) maintain that Gorba-chev does not promote human rights in the Soviet Union. The West Germans are almost evenly divided on this issue. Only the British (54 percent) say Gorbachev does at least a `fairly good job' of promoting human rights in the Soviet Union," according to an agency survey in those three nations.General attitudes about the Soviet Union followed the same pattern.While Gorbachev's popularity has climbed, President Reagan's ratings have remained fairly constant over the past six months.