BERLIN — German politicians have called on domestic intelligence officials to place the nationalist Alternative for Germany party under surveillance on suspicion of undermining the country’s Constitution, as it stokes resentments against immigrants and Chancellor Angela Merkel’s immigration policies.

The call came from members of the Social Democrats, part of the governing coalition, as well as the opposition Greens and some members of Ms. Merkel’s own Christian Democrats.

There had been previous demands for surveillance of Alternative for Germany, but they grew in recent days after images spread of leading party members marching beside supporters of the anti-Islam Pegida movement in the eastern city of Chemnitz. A party leader also expressed support for violent demonstrations there after two immigrants were arrested in the fatal stabbing of a German man.

Horst Seehofer, Germany’s highest security official, rejected the calls, saying he did not see sufficient grounds for monitoring the party. Political parties, their associated organizations and individual politicians can be subject to such measures if the authorities can establish clear evidence of efforts to undermine the principles of the country’s Constitution.