Section 1. "Author of the psalm." This psalm ascribed to David, both in the title and in the location which it has among the Psalm. There is nothing in the psalm to make this doubtful, and indeed its structure is so much in accordance with those usually ascribed to David, as to leave no doubt as to its authorship.
Section 2. "Occasion on which it was composed." Of this there is no intimation in the title, or in the psalm itself. There is no special reference to any of the incidents of David's life, although some of the thoughts or images were suggested apparently by the recollection of what occurred in the persecutions of Saul or the rebellion of Absalom. Different occasions in the life of David have indeed been referred to as having led to the composition of the psalm. Venema supposes that it was composed when David was in the wilderness of Ziph, and when, betrayed by the inhabitants of the wilderness, and pursued by Saul, his friends began to advise him to seek a place of safety by flight, 1-Samuel 23:14-23. This gave occasion, Venema supposes, for his expressing the sentiment - which is the leading sentiment in the psalm - that when our affairs seem to be hopeless, we are not to be in despair, but are to put our trust still in God. Others have supposed that the psalm was composed when he was in the cave of Adullam 1 Sam. 22, and in imminent danger of his life from the persecutions of Saul. A more plausible opinion is that of Amyraldus, who supposes that it was composed when David was in the court of Saul, and when he may have been advised to leave the court - a place of danger - and flee to a place of safety. But it cannot be determined with certainty on which of these occasions the psalm was composed, if it was on either of them. All that is apparent in the psalm itself is, that it was when the author was in danger, and when some of his friends advised him to seek safety by flight, Psalm 11:1. Instead of doing this, David determined to remain where he was, and to put his trust in God, with the belief that he would interpose and deliver him.
Section 3. "Contents of the psalm." This psalm may be properly regarded as divided into two parts:
I. The counsel of some timid and fearful friends to the writer, in the circumstances of danger in which he was, to make his escape, and to seek safety by flight, Psalm 11:1-3. They advise him to flee as a bird to the mountain; that is, to flee to a place of security while he could, for he seems to have been surrounded by enemies. The arguments by which they enforced this counsel seem to be referred to in Psalm 11:2-3, and were these:
(a) that the wicked had made preparations to destroy him, for their bows and arrows were ready, Psalm 11:2; and
(b) that the condition of affairs was as if the very foundations were destroyed; that there was nothing to rest on; and that all his hopes, in his present condition, must be swept away, Psalm 11:3.
In these circumstances, all his hopes of safety, in their apprehension, was in flight.
II. The views which the author of the psalm entertained on the subject, in reply to this, Psalm 11:4-7. He had unwavering confidence in God; he did not despair; he believed that God would protect him; he believed that the object of God in permitting this was to try the righteous, and that in due time he would come forth and rain snares, fire, and brimstone, upon the ungodly. The state of mind thus evinced, is that of firmness in trying circumstances; steady confidence in God when things seem to be most adverse; and an assured belief that God will in due time rescue those who put their trust in him. It is the manifestation of firmness against the counsels of the timid; the language of unshaken trust in God when the fearful and unbelieving despair.
For the meaning of the title, see the note at Psalm 5:1-12.

David's friends advise him to flee to the wilderness from Saul's fury, Psalm 11:1-3. He answers that, having put his trust in God, knowing that he forsakes not those who confide in him, and that he will punish the ungodly, he is perfectly satisfied that he shall be in safety, Psalm 11:4-7.
The inscription is, To the chief Musician, A psalm of David. By the chief musician we may understand the master-singer; the leader of the band; the person who directed the choir: but we know that the word has been translated, To the Conqueror; and some deep and mystical senses have been attributed to it, with which I believe the text has nothing to do.

INTRODUCTION TO PSALM 11
To the chief Musician, A Psalm of David.
This psalm has no name; it is neither called a psalm, nor hymn, nor song, nor prayer, only said to be David's; and is inscribed and directed as others to the chief musician, or master of the song, to be used in public service; and seems to be written much upon the same subject with the two preceding psalms. According to Theodoret it was written when David was persecuted by Saul, and was advised by some to flee for his safety.

David's struggle with, and triumph over a strong temptation to distrust God, and betake himself to indirect means for his own safety, in a time of danger.

Refusal to Flee When in a Perilous Situation.
Psalm 11:1-7, which likewise confidently sets the all-seeing eye of Jahve before the ungodly who carry out their murderous designs under cover of the darkness, is placed after Ps 10. The life of David (to whom even Hitzig and Ewald ascribe this Psalm) is threatened, the pillars of the state are shaken, they counsel the king to flee to the mountains. These are indications of the time when the rebellion of Absolom was secretly preparing, but still clearly discernible. Although hurrying on with a swift measure and clear in the principal thoughts, still this Psalm is not free from difficult points, just as it is with all the Psalm which contain similar dark passages from the internal condition of Israel. The gloomy condition of the nation seems to be reflected in the very language. The strophic plan is not easily discernible; nevertheless we cannot go far wrong in dividing the Psalm into two seven line strophes with a two line epiphonema.