16 Heb “sacrifice and offering you do not desire.” The statement is exaggerated for the sake of emphasis (see Ps 51:16 as well). God is pleased with sacrifices, but his first priority is obedience and loyalty (see 1 Sam 15:22). Sacrifices and offerings apart from genuine allegiance are meaningless (see Isa 1:11–20).
17 Heb “ears you hollowed out for me.” The meaning of this odd expression is debated (this is the only collocation of “hollowed out” and “ears” in the OT). It may have been an idiomatic expression referring to making a point clear to a listener. The has “but a body you have prepared for me,” a reading which is followed in Heb 10:5.
18 Heb “in the roll of the scroll it is written concerning me.” Apparently the psalmist refers to the law of God (see v. 8), which contains the commandments God desires him to obey. If this is a distinctly royal psalm, then the psalmist/king may be referring specifically to the regulations of kingship prescribed in Deut 17:14–20. See P. C. Craigie, Psalms 1–50 (), .
19 Or “your will.”
20 Heb “your law [is] in the midst of my inner parts.” The “inner parts” are viewed here as the seat of the psalmist’s thought life and moral decision making.

In other versions

ESVEnglish Standard Version

In sacrifice and offering you have not delighted,

but you have given me an open ear.

Burnt offering and sin offering

you have not required.

Then I said, “Behold, I have come;

in the scroll of the book it is written of me:

I delight to do your will, O my God;

your law is within my heart.”

NIVNew International Version (2011)

Sacrifice and offering you did not desire—

but my ears you have opened—

burnt offerings and sin offerings you did not require.

Then I said, “Here I am, I have come—

it is written about me in the scroll.

I desire to do your will, my God;

your law is within my heart.”

CSBChristian Standard Bible

You do not delight in sacrifice and offering;

you open my ears to listen.

You do not ask for a whole burnt offering or a sin offering.

Then I said, “See, I have come;

in the scroll it is written about me.

I delight to do your will, my God,

and your instruction is deep within me.”

NLTNew Living Translation

You take no delight in sacrifices or offerings.

Now that you have made me listen, I finally understand—

you don’t require burnt offerings or sin offerings.

Then I said, “Look, I have come.

As is written about me in the Scriptures:

I take joy in doing your will, my God,

for your instructions are written on my heart.”

LEBThe Lexham English Bible

A sacrifice and offering you do not desire.

My ears you have opened.

Burnt offering and sin offering you have not demanded.

Then I said, “Look, I come.

In the scroll of the book

it is written concerning me:

‘I delight to do your will, O my God,

and your law is deep within me.’ ”

KJV 1900King James Version

Sacrifice and offering thou didst not desire;

Mine ears hast thou opened:

Burnt offering and sin offering hast thou not required.

Then said I, Lo, I come:

In the volume of the book it is written of me,

I delight to do thy will, O my God:

Yea, thy law is within my heart.

Public Domain