The domestic events of the month (which, in accordance with requests from many quarters, this Magazine will hereafter regularly record) have not been numerous or very important. The _Invasion of Cuba_, by a force collected, organized, armed, officered, and disciplined within the United States, and the successful repulse of that invasion, have been the leading topic of comment. The expedition, 300 in number, left New Orleans, under command of General LOPEZ, on the 25th of April and the 2d of May, and landed at Cardenas on the morning of the 19th of May. A brief struggle ensued between the invaders and the troops, in which the latter were repulsed, the governor captured, his palace plundered, and a large quantity of public money seized. The invaders had counted upon accessions to their ranks from the Spanish army, and from the disaffected inhabitants. In this, however, they were entirely disappointed, and LOPEZ accordingly re-embarked on the steamer which had taken him thither, and with a few of his followers, made his escape to the United States, leaving the great body of his adherents to the tender mercies of the authorities of Cuba. Lopez has been arrested at New Orleans, and awaits trial on charge of having violated the United States neutrality act of 1818: and a good deal of interest is felt in the disposition which the Cuban authorities will make of the prisoners who have fallen into their hands. It seems that a Spanish steamer captured two vessels in the Mexican waters, laden with men whom they suspected of having intended to join the invading expedition, and took them into Havana. The President of the United States has made a peremptory demand for the release of these prisoners, and declares that a clear distinction must be made between those proved guilty of actual participation, and those suspected of an intention to join, in the invasion. The result of this demand is not yet known. It is not believed, however, that the Cuban authorities will pursue a course of unnecessary or unjust rigor, as it could scarcely fail to involve them in serious difficulties with the United States.