Philippians 3:9

...and be found in him, not having a righteousness of my own that comes from the law, but that which is through faith in Christ--the righteousness that comes from God and is by faith.

be found in him
Philippians 2:1 If you have any encouragement from being united with Christ, if any comfort from his love, if any fellowship with the Spirit, if any tenderness and compassion ...
1 Corinthians 1:30 It is because of him that you are in Christ Jesus, who has become for us wisdom from God--that is, our righteousness, holiness and redemption.

not having a righteousness of my own that comes from the law
Philippians 3:6 ... as for zeal, persecuting the church; as for legalistic righteousness, faultless.
Romans 10:5 Moses describes in this way the righteousness that is by the law: "The man who does these things will live by them."

--the righteousness
Jeremiah 33:16 "'In those days Judah will be saved and Jerusalem will live in safety. This is the name by which it will be called: The Lord Our Righteousness.'"

that comes from God and is by faith.
Romans 9:30-32 What then shall we say? That the Gentiles, who did not pursue righteousness, have obtained it, a righteousness that is by faith; but Israel, who pursued a law of righteousness, has not attained it. Why not? Because they pursued it not by faith but as if it were by works. They stumbled over the "stumbling stone."
Romans 3:21-24 But now a righteousness from God, apart from the law, has been made known, to which the Law and the Prophets testify. This righteousness from God comes through faith in Jesus Christ to all who believe. There is no difference, for all have sinned and fall short of the glory of God, and are justified freely by his grace through the redemption that came by Christ Jesus.
Galatians 2:15-16 "We who are Jews by birth and not 'Gentile sinners' know that a man is not justified by observing the law, but by faith in Jesus Christ. So we, too, have put our faith in Christ Jesus that we may be justified by faith in Christ and not by observing the law, because by observing the law no one will be justified."

Scriptures taken from the Holy Bible, New International Version® NIV®, Copyright© 1973, 1978, 1984 by International Bible Society. Used by permission. All rights reserved worldwide.