The public buildings of New York are many, and, as a general rule, handsome. They are widely scattered over the island, and our limits forbid more than a notice of the principal structures.

                     THE CITY HALL.

This building is located in the Park, and is nearly opposite Murray street. It faces the south, and the ground line is perpendicular to Broadway. It is too small for the present uses of the city, having been built between the years 1803 and 1810. The front and ends are of marble, but the rear is of brown stone. It is said that the city fathers, at the time of its erection, thinking that the town would never extend beyond the lower line of the park, were anxious to save the additional cost of the marble at this side.

The clock-tower, and upper portions of the building, were set on fire by the pyrotechnical display in honor of the Atlantic Telegraph of 1859. They were rebuilt soon afterwards, in much better style.

Previous to the completion of the new cupola, our city fathers contracted with Messrs. Sperry &Co., the celebrated tower-clock makers of Broadway, to build a clock for it, at a cost not exceeding four thousand dollars, that our citizens might place the utmost reliance upon, as a time-keeper of unvarying correctness. During the month of April the clock was completed, and the busy thousands who were daily wont to look up to the silent monitor, above which the figure of Justice was enthroned, hailed its appearance with the utmost satisfaction. It is undoubtedly the finest specimen of a tower-clock on this side of the Atlantic, and, as an accurate time-keeper, competent judges pronounce it to be unsurpassed in the world. The main wheels are thirty inches in diameter, the escapement is jewelled, and the pendulum, which is in itself a curiosity, is over fourteen feet in length. It is a curious fact that the pendulum bob weighs over three hundred pounds; but so finely finished is every wheel, pinion, and pivot in the clock, and so little power is required to drive them, that a weight of only one hundred pounds is all that is necessary to keep this ponderous mass of metal vibrating, and turn four pairs of hands on the dials of the cupola. The clock does not stand, as many suppose, directly behind the dials, but in the story below, and a perpendicular iron rod, twenty-five feet in length, connects it with the dial-works above.

The building contains the offices of the Mayor and city officials.

In the rear of the City Hall is the new County Court House, which, when completed, will front on Chambers street, and constitute one of the handsomest edifices in the city. It is built of white marble.

                     THE PARK BANK,

Situated on Broadway, below Ann street, is a magnificent white marble edifice, ornamented with a profusion of statuary and carving. The bank- room is a model of beauty. The vaults are the most perfect and secure in the city.

                     THE ASTOR LIBRARY,

In Lafayette Place, is a substantial building of red brick. The property, and the library, are the gift of John Jacob Astor to the trustees, for the benefit of the cause of education throughout the land. The interior is in keeping with the exterior. It is simple and elegant, and contains a collection of over one hundred thousand volumes, carefully and judiciously selected. It is free to all persons, on condition of good behavior and careful usage of the books. The officers are courteous and obliging, and every care is taken to make the institution meet the wishes of its founder.

                     THE COOPER INSTITUTE,

In Astor Place, is a handsome freestone building, devoted to science and art. It occupies an entire block, and is the gift of Peter Cooper, Esq., to the public. It contains lecture rooms, rooms for experiments, free schools of science and art for the working classes, a reading room, and a library. The street floor and that, above are rented out for stores and offices, and yield an annual income of from twenty-five to thirty thousand dollars.

                     THE BIBLE HOUSE,

Faces the Cooper Institute, and occupies a whole block, being bounded by Third and Fourth Avenues, and Eighth and Ninth streets. It is an immense structure, nearly triangular in form. It is the property of the American Bible Society, and was erected at a cost of three hundred thousand dollars. The revenue of the society is about five millions of dollars annually. Thousands of copies of the Bible are printed here annually, and sold or distributed in all parts of the world. The Bible has been printed here in twenty-four different dialects, and parts of it have been issued in others still.

About six hundred persons find employment in this gigantic establishment. Of these about three hundred are girls, and twenty or thirty boys. The girls feed the presses, sew the books, apply gold-leaf to the covers ready for tooling, etc. About a dozen little girls are employed in the press-room in laying the sheets, of the best description of Bibles, between glazed boards, and so preparing them for being placed in the hydraulic presses. Every day there are six thousand Bibles printed in this establishment, and three hundred and fifty turned out of hand completely bound and finished. The sheets of the Arabic Bible, which has been so long in preparation, are now exhibited to visitors, and elicit universal admiration, both on account of the peculiarity of the character, and the striking neatness and elegance which the work exhibits. A large edition of this translation has just been forwarded to Constantinople. Much of the mechanical portions of this admirable work has been executed by children. They are fairly paid by the Society, and appear to be very happy and comfortable at their work.

                     THE ACADEMY OF DESIGN,

At the corner of Twenty-third street and Fourth Avenue, is one of the most beautiful edifices in the city. It is built in the pure Gothic style of the thirteenth century, and the external walls are composed of variegated marble. It has an air of lightness and elegance, that at once elicit the admiration of the gazer. The interior is finished with white pine, ash, mahogany, oak, and black walnut in their natural colors; no paint being used in the building. Schools of art, a library, reading room, lecture room, and the necessary rooms for the business of the institution, occupy the first and second stories. The third floor is devoted to the gallery of paintings and the sculpture room.

An annual exhibition is held during the winter months, when the public are admitted at a small charge. Only the works of living artists are exhibited.

The hospitals and benevolent institutions of the city are numerous, and are conducted in a liberal manner. Visitors are admitted to all of them at stated times, and much instruction and profit may be gained from an examination of the system upon which they are managed.