In _Hayti_ hostilities between the Haytians and Dominicans have taken place. The former advanced beyond the advanced posts of the latter on the 29th of May, but were repulsed with some loss; the Dominicans not losing a man, if we are to believe the bulletin of the President, Baez. GREAT BRITAIN. Beyond the continued and triumphant success of the Great Exhibition, there is little of interest to record. The daily number of visitors upon the shilling days fluctuates from 50,000 to 70,000, depending much upon the state of the weather. In very warm days, when the building is crowded, the heat is almost insupportable. The Queen continues her almost daily visits, and the absurd apprehension of violence to the royal person has passed away. The Russian department, the opening of which was delayed by the detention by ice of the contributions, is now opened, and astonishes every one by its splendor, giving an idea of the state of art and manufactures in that empire much higher than had before been entertained. There is now no talk of removing the Crystal Palace at the close of the Exhibition; the disposition most likely to be made of it being to convert it into a winter garden and conservatory. The Kaffir war proves even more serious than was anticipated. A number of chiefs, upon whose fidelity to the English reliance had been placed, and whose followers are at least partially supplied with fire-arms, have joined their countrymen. In Parliament nothing of more than local interest has transpired, except a motion made by Mr. COBDEN, praying the Queen "to enter into communication with the Government of France to endeavor to prevent in future the rivalry of warlike preparations, in time of peace, which has hitherto been the policy of the two Governments, and to promote, if possible, a mutual reduction of armaments." Lord PALMERSTON, in behalf of the Ministers, expressed a general concurrence in the object aimed at by the motion; but wished Mr. Cobden would not press it to a division, as those who might vote against it would be liable to be misunderstood to be opposed to the object of the motion, rather than to the means proposed to accomplish it. The mover withdrew the motion, at the request of his friends.