The enclosed letters shew the ground we have taken, in regard to the appointment of a post-master of your city. Of the result, you have already been advised. Aware of the dissatisfaction which exists in our state, with the course of appointments in the post-office department, and of the impression common to our political friends, that the political characters of the applicants to that department, were not as much regarded as justice and good policy required, we deemed it advisable to embrace this occasion to impose on the Postmaster General the necessity of passing distinctly on that question. We were also apprehensive, that from the circumstance of political fidelity being so justly appreciated with you, you would naturally suppose it was to the same extent elsewhere, and might on that account be inclined to attribute obnoxious appointments, rather to remissness on the part of your friends here, than to the true cause. You have now the same means of judging as ourselves, how far you may with propriety regard the appointment in this case as deciding, that in the administration of the post office department, political distinctions give no preference.

That you will be disappointed and mortified, we can aeadily believe; but we trust that you will not be disheartened. While there are no men in this country more inured to political suffering, than the republicans of New-York, there are none who have stronger reasons to be satisfied of the irrepressible energy of the democratic party, and that no abuses of their confidence, can long remain beyond their reach and plenary correction. On this conviction, we trust you will repose yourselves, and act accordingly.