The day arrived, and the celebration surpassed any thing which the city had ever witnessed before. It was a mild autumn day--warm, yet with a sky softly veiled with clouds, that seemed to invite a whole population into the streets. The day commenced with a solemn service at Trinity Church, which was attended by the city authorities, the representatives of foreign powers, and an immense concourse of people. The vast edifice was decorated with evergreens; in the centre hung a cross, with the inscription: "Glory to God on high; and on earth, peace, good-will towards men." When the audience were assembled, there entered a procession of two hundred clergy, headed by Bishop Doane of New Jersey, who was to deliver the address. Prayers were offered and Scriptures were read, and at intervals the choir gave voice to the general joy in the anthems in which for ages the Church has been wont to pour forth its exultation: "O come, let us sing unto the Lord," the Gloria in Excelsis, and the Te Deum Laudamus. At noon, Mr. Field and the officers of the ships landed at Castle Garden and were received with a national salute. A procession was formed which extended for miles from the Battery to the Crystal Palace, which stood on the plot of ground now known as Bryant Park, between Fortieth and Forty-second streets. In the procession were Lord Napier, the British Minister, and officers of the army and navy. For the whole distance the streets were crowded. The windows and even the tops of the houses were filled with people. Everywhere flags and banners, with every device, floated in the air. So dense was the crowd that it was five or six hours before the procession could reach the Crystal Palace. Here its coming was awaited by an assembly that filled all the aisles and galleries. An address was delivered, giving the history of the Atlantic Telegraph. The Mayor then rose, and presenting Mr. Field to the audience, spoke as follows: