The second exhibition of this Society was held on the 20th, 21st, 22d, and 23d of Sept., at the Metropolitan Hall, New-York, and we rejoice to say was very successful and creditable to the managers of this new society.

We say rejoice, because, now that the diffusion of horticultural knowledge is so rapidly increasing amonst us, and the commendable spirit of enterprise in this branch of science is aroused - wo are glad to see progress in the right direction; and the more so as it was most unpardonable for the " Empire State" to be lagging behind, when the prosperity of such societies as those of Massachusetssand Pennsylvania, not to name the numerous others equally praiseworthy, have long set so good an example.

The first exhibition of this Society was held in June last, when, from the evidence we then saw of an eartnestness of purpose about the originators of the meeting, we augured well of the prosperity of the Society; while the encouragement which we saw was extended to it by some of the most celebrated amateur cultivators, manifested amongst others, by the kind consideration of Mr. Cope, in sending from his splendid collection a specimen of the far famed Victoria Lily, satisfied us that nothing but perseverance is necessary to render this Society prominent in its amiable rivalry with its more matured sisters in other parts of the country.

The present exhibition convinces us that our prognostications have not been ill founded. It was not nevertheless without some misgivings as to the result that we wended our way on tho 20th to Metropolitan Hall; wishing well as we do, in all sincerity, to this and every other rightly directed effort in the furtherance of our favorite science. For, having ourselves had a pretty extended experience in these kind of things, we are well aware of the numerous difficulties, prejudices, conflicting interests and views, which hare to be contended with, and smoothed down at the outset of all similar undertakings, and which if not judiciously handled, too frequently cause the shipwreck at their origin of many a well intentioned onward movement. When, however, we cast our first glance over the tables of Metropolitan Hall, we felt that the only duty left us was to congratulate the members of the Society on their success. Although of course in point of extent the exhibition could not be expected, as the production of a young Society, to equal or approach those of older societies; yet the quality of the collection as a whole was highly creditable to the exhibitors, and as encouraging to the exertions of the managers, as it must have been gratifying to the members and to their numerous visitors.

We were gratified to perceive that not only was considerable company generally there, but that a large portion of the substantial merchants and their fair ladies had resolved to show their fellow citizens that the elegant display which had been brought together was appreciated and enjoyed by them.

The fruit was in considerable quantity and almost all good.

In Grapes, we are glad to bear willing testimony to Mr. Charlton's skill, as manifested in the very fine specimens which gained for him the first premium for the following eight varieties: - Victoria, (very fine,) Black Prince, Syrian, Xeres, Austrian Muscat, Black Hamburgh, Reine de Nice, and Deacon's Superb. They were indeed " superb," all of them - well colored, and with the bloom well preserved. The vines from which they were cut, were stated to be three years old. A discretionary premium was also given for three fine bunches of Black Hamburgh, to H. Sheldon, Esq., of Tar-rytown, and another premium of the same kind to Alex. Gordon, Long Island, for Muscat and Syrian grapes, which well deserved the distinction.

Apples and Pears were in tolerably large collections Messrs. Parsons & Co., of Flush ing, exhibited 70 varieties of apples, fine in qnality, and containing many both of old and new favortties. Their collection of pears was equally fine. Messrs. Wilson, Thorburn and Teller, of Albany, also exhibited an extensive and very good collection of apples, which we observed the connoisseurs examining very astutely. With reference to some of the plants, and particularly as regards the apples and pears, the divisions between those belonging to the different exhibitors, were so indistinct, that we found it impossible, in many cases, to find out to which of the plates of fruit the premium cards applied, or we should have more particularly adverted to some of these premiums, for many of them were very meritoriously earned.

In Hot-House Plants, Messrs. Hogg & Co. were the successful competitors for the first premium, in whose collection were noticed a fair plant of Schubertia graveolens, and one of Allemanda neriifolia, nicely grown, but the bloom hardly expanded enough; they would have been in greater perfection in another fortnight or so. Messrs. Hogg also exhibited well grown and remarkably healthy specimens of Musa humilis, and of Maranta zebrina, which indicated careful culture, and were very creditable to their establishment. We noticed two good plants of the fragrant Hedychium Gardne-rianum from the nursery of Mr. Dunlap.

In Green-house Plants, the first premium was awarded to M. Coleman, gardner to A. P. Cumings, Esq., of Williamsburg, who exhibited a very fine Aran caria Braziliensis, much better grown that this variety generally is. Mr. A. Bridgeman gained the second premium, and his collection contained several very neat plants, but of course the lateness of the season precludes the expectation of seeing this class of plants in the perfection in which they were in May and June.

There were several fine specimens of plants in the rooms, among which we must particularly mention a Fuchsia six feet or more high, well covered to the bottom with foliage, and very clean and well grown, from the collection of Leonard Spencer, Esq. ; also a large Begonia argyrostigma, and a fine Licopodium in equally luxuriant growth, and some other things from the same gentleman. These plants we noticed, all indicated the same care and good management, and although we have not the pleasure of Mr. Spencer's acquaintance, we hope our merited approval may operate as an additional stimulus to his exertions, so that on future oc-cations he may contribute in larger quantity to these exhibitions ; and not only so, but that his example may induce more of our many amateurs to contribute from their valuable collections in aid of the exertions of the managing committee, to render their display worthy the patronage which the public appears disposed to accord to it. Neat specimens of Angelonia Gardneriana, and of Brnnsfelsia Americana, were exhibited by Messrs. Hogg; and a fine Acacia pubescens, with its elegantly delicate foliage, by Mr. T. Dunlap. We noticed also two well grown Begonias from Mr. J. Buchanan.