The necessary legislation to carry into effect the convention respecting commercial reciprocity concluded with the Hawaiian Islands in 1875 having been had, the proclamation to carry into effect the convention, as provided by the act approved August 15, 1876, was duly issued upon the 9th day of September last. A copy thereof accompanies this message. The commotions which have been prevalent in Mexico for some time past, and which, unhappily, seem to be not yet wholly quieted, have led to complaints of citizens of the United States of injuries by persons in authority. It is hoped, however, that these will ultimately be adjusted to the satisfaction of both Governments. The frontier of the United States in that quarter has not been exempt from acts of violence by citizens of one Republic on those of the other. The frequency of these is supposed to be increased and their adjustment made more difficult by the considerable changes in the course of the lower part of the Rio Grande River, which river is a part of the boundary between the two countries. These changes have placed on either side of that river portions of land which by existing conventions belong to the jurisdiction of the Government on the opposite side of the river. The subject of adjustment of this cause of difficulty is under consideration between the two Republics. The Government of the United States of Colombia has paid the award in the case of the steamer Montijo, seized by authorities of that Government some years since, and the amount has been transferred to the claimants. It is with satisfaction that I am able to announce that the joint commission for the adjustment of claims between the United States and Mexico under the convention of 1868, the duration of which has been several times extended, has brought its labors to a close. From the report of the agent of the United States, which accompanies the papers transmitted herewith, it will be seen that within the time limited by the commission 1,017 claims on the part of citizens of the United States against Mexico were referred to the commission. Of these claims 831 were dismissed or disallowed, and in 186 cases awards were made in favor of the claimants against the Mexican Republic, amounting in the aggregate to $4,125,622.20. Within the same period 998 claims on the part of citizens of the Mexican Republic against the United States were referred to the commission. Of these claims 831 were dismissed or disallowed, and in 167 cases awards were made in favor of the claimants against the United States, amounting in the aggregate to $150,498.41. By the terms of the convention the amount of these awards is to be deducted from the amount awarded in favor of our citizens against Mexico, and the balance only to be paid by Mexico to the United States, leaving the United States to make provision for this proportion of the awards in favor of its Own citizens.