The Message of the President of the United States was received, agreeably to the intimation given by the President yesterday to the committee appointed to wait on him. The Message having been read, was referred to a Committee of the whole House on the State of the Union, and 5,000 copies ordered to be printed of the Message, with the documents accompanying it. [See Senate proceedings of this date, _ante_ page 117, for this Message.] THURSDAY, May 25. _Swedish and Portuguese Vessels._ Mr. NEWTON offered a resolution to instruct the Committee of Commerce and Manufactures to inquire into and report on the expediency of permitting vessels of those nations with whom intercourse was permitted, to take cargoes, &c. He stated to the House that at present vessels of Sweden and Portugal, with whom intercourse is permitted, could not load and depart; and on this subject a letter was read from the Secretary of the Treasury to the Committee of Commerce and Manufactures. Mr. BURWELL said there was another subject connected with the resolution, which ought to be taken into consideration. The proclamation of the President declares that on the 10th of June next, the operation of the non-intercourse law, as relates to Great Britain, shall cease. It went into operation on the 20th of this month. Of course there were many vessels on the coast which could not get in before the 20th of May. He submitted it to the Chairman of the Committee, whether it would not be proper at once to do away all restriction, because the policy of its existence had ceased in relation to Great Britain from the restoration of harmony with her; and if the goods on our coast were not permitted to be regularly landed, they might be smuggled in, and injure the revenue. He thought it would be proper to inquire into the expediency of doing away at once, by law, all interdiction of commerce. Mr. NEWTON said he had no objection to act on the subject mentioned by his colleague, but he did not conceive it to be connected with the present motion. Mr. NEWTON'S motion having been agreed to, he immediately reported "a bill respecting the ships or vessels owned by citizens of foreign nations with whom commercial intercourse is permitted."--Twice read, and referred to a Committee of the whole House to-morrow. _Non-Intercourse Act._