The founder of the far-right group the Proud Boys said on Friday that he was arranging the surrender of several members whom the police are seeking in connection with a violent brawl outside a Republican club in Manhattan last weekend.

At the same time, a senior official said the police had opened a broad criminal inquiry into the group’s activities.

Gavin McInnes, 48, a polemical far-right speaker who started the Proud Boys in 2016, said several suspects would turn themselves in. By late Friday afternoon, two of the nine men sought by the police had been arrested. A police official said a lawyer representing at least four of the suspects had called the 19th Precinct on Friday to work out the details of their surrender.

Though it was unclear how many might face charges, Mr. McInnes said the rest would soon be in custody. “They are going to be in the Tombs,” he said.