Suu Kyi has been confined for 12 of the past 18 years, her latest period of arrest beginning in 2003.
On Tuesday, police detained more than a dozen members of Suu Kyi's National League for Democracy (NLD) party while they were marching from the party's headquarters to her home.
Riot police shoved the group into a truck. It was not immediately known how many people were detained.
The NLD also rejected the outcome of Myanmar's referendum on a military-backed constitution, calling the approval of the text a "sham".
"The referendum is not free and fair," the party said in its first official reaction to the junta's claim of victory.
The military government said on Monday that voters in the cyclone-hit country overwhelmingly approved the constitution that critics say will perpetuate the military's decades-old grip on power.
The overall turnout for the referendum - held in two phases - was 26.8 million out of 27.4 million eligible voters or 98 per cent, state radio said.