A former U;S. Air Force colonel working for an American construction company here was killed yesterday at his home in southern Iran, the second American slain since arti-shah turmoil broke out a year ago, U.S. officials reported today.

The Tehran newspaper Khayan said the victim, Martin Berkowitz, 53, of San Francisco, was stabbed at the town of Kerman in the Kitchen of his home, where he lived alone since sending his family out of the country last month.

The words "go back to your own country" were scrawled on the wall, the paper said.

Many protests against Shah Mohammad Reza Pahlavi have been directed against the United States and Americans here because of Washington's support of the monarch and the large number of Americans working in his development projects.

Paul Grimm, an American executive of the Oil Services Co. of Iran, was killed by terrorists Dec. 23 in the southwestern oil center of Ahwaz.

Berkowitz worked as an engineer on a copper mining project at the Sarchasmeh Mines near Kerman run by Parsons-Jurdon, Ltd., a division of the Ralph M. Parsons Co. of Pasadena, Calif., the U.S. Embassy said.

His home was sealed off while authorities investigated his death. There was no indication who his killers were, an embasy spokesman said.