Saturday 18th.—Several reports prevailed that a part of the rebel army was approaching this city, and early this morning they had made an attack upon a fort above King's Bridge; but they were repulsed. Some of the soldiers here were ordered up that way to-day, and all the night soldiers kept a look-out.

Monday 20th.—It appears from the public papers, that intelligence has been had of a further intention to destroy this city by fire. For this reason the city watch has been regulated anew, according to which about 80 men watched every night in the different wards. Besides this, some of the Light Horse patrol the streets in the night. Some other regulations were likewise published, which give again an aspect of matters coming again into some order. The effect has also shown itself, the breaking down of fences, &c., does not go on as it did for a while; the bread is larger &c.

To-day a beginning was made with the inhabitants to take the oath of allegiance to his Majesty. Every day 2 wards are taken; it is done before the governor, mayor, &c.

Thursday 6th February.—Our burying ground at Fresh Water, (corner of Mott and Pell streets) lies entirely open; not the least of a board or post is left.

Sunday 16th.—The evening preaching at 6, was on a part of the to-day's Epistle: 2 Cor. vi: 1, 2; the subject,—"not to receive the grace of God in vain." When near the conclusion, another cry of fire was heard in the street, so that the last verses could not be sung. It happened to be in the Broadway, but was put out soon.

Monday 17th.—Towards evening there was another alarm of fire, but it proved to be a false one, and the engines were ordered back.

Thursday 4th March.—In the afternoon was the burial of Dr. Autchmuty, Rector of Trinity Church here, who departed this life last Tuesday. Bro. Shewkirk was invited, and was one of the ministers that were pall-bearers. There was a large company of ministers present; the most of them were strangers, partly belonging to the army. He was buried in St. Paul's. The weather was bad, raining and snowing, yet there was a great concourse of people. Mr. Inglis kept the funeral service.

Sunday 16th.—Some wild officers who came into the evening meeting disturbed the devotion somewhat; however they went away soon; the auditory was pretty large and attentive.

Tuesday 18th.—We have had fine weather of late. On Sunday night about 100 of the rebels being in a house somewhere above King's Bridge, some of the King's troops went to take them prisoners; and as soon as they saw and heard nothing of an opposition, they surrounded the house, and the Captain and some men went in; but some of the rebels took up their guns, and killed the captain, and 4 or 5 men; upon which the others rushed in with their fixed bayonets, killed about 40, and took the rest prisoners. In the Jerseys some fightings have likewise been within these days.

Wednesday 29th May.—The King's troops are preparing for the campaign, and to leave the town and winter quarters. The day before yesterday some of the fleet with fresh troops from home arrived, and yesterday a large number of troops came in from King's Bridge to embark.