The Lord hath heard my supplication - Repeating the sentiment in the previous verse, to express his assurance and his joy. Nothing is more natural in such circumstances than to dwell on the joyous thought, and to repeat it to ourselves, that it may make its full impression.
The Lord will receive my prayer - As he has done it, so he will still do it. This allays all fears of the future, and makes the mind calm. The state of mind here is this: "The Lord has heard my prayer; I am assured that he will do it hereafter; I have, therefore, nothing to fear."

The Lord hath heard my supplication,.... Which he had presented to him, Psalm 6:1; in which he deprecates his anger and hot displeasure; entreats his free favour, grace, and mercy; desires healing for soul or body, or both; prays a return of his gracious presence; and deliverance and salvation out of all his troubles, from all his enemies, and from death itself. The word (h) used properly signifies petitions for grace and mercy, which the psalmist put up under the influence of the spirit of grace and supplication, and which were heard;
the Lord will receive my prayer; instead of a burnt offering, as Aben Ezra glosses it; as sweet incense, as what is grateful and delightful, coming up out of the hands of Christ the Mediator, perfumed with the sweet incense of his mediation: the word (i) signifies prayer made to God as the righteous Judge, as the God of his righteousness, who would vindicate his cause and right his wrongs; and a believer, through the blood and righteousness of Christ, can go to God as a righteous God, and plead with him even for pardon and cleansing, who is just and faithful to grant both unto him. The psalmist three times expresses his confidence of his prayers being heard and received, which may be either in reference to his having prayed so many times for help, as the Apostle Paul did, 2-Corinthians 12:8; and as Christ his antitype did, Matthew 26:39; or to express the certainty of it, the strength of his faith in it, and the exuberance of his joy on account of it.
(h) "supplices pro gratia preces meas", Michaelis: so Ainsworth. (i) "est propria oratio habita ad juris et aequi arbitrum"; Cocceius in Psal. iv. 2.