Do angels have free will? I believe we have free will and that God has free will.  It would seem Lucifer also had free will.  Do all angels have free will as we do?
Lucifer and his angels do indeed appear to have independent will.  Revelation 12 describes the fall of the angels:

Revelation 12
7 Then war broke out in heaven. Michael and his angels fought against the dragon, and the dragon and his angels fought back. 8 But he was not strong enough, and they lost their place in heaven. 9 The great dragon was hurled down—that ancient serpent called the devil, or Satan, who leads the whole world astray. He was hurled to the earth, and his angels with him.

It seems to my limited reasoning faculty, that it would not be possible for the &quot;dragon&quot; and his angels to make war on God and be cast out of heaven without them exercising their will independently of God's.
Furthermore, Isaiah describes self-will as the cause of the devil's fall:

Isaiah 14:12 ff
12 How you have fallen from heaven,     morning star, son of the
dawn!   You have been cast down to the earth,     you who once laid
low the nations!  13 You said in your heart,     “I will ascend to the
heavens;  I will raise my throne     above the stars of God;  I will
sit enthroned on the mount of assembly,     on the utmost heights of
Mount Zaphon.  14 I will ascend above the tops of the clouds;     I
will make myself like the Most High.”

That's a lot of &quot;I will&quot; statements, for someone without one.
Why some of the angels rebelled and others did not (and do not), is a mystery.  But you must be careful not to conflate independent will with a natural inclination to sin - for example, God has perfectly independent will, but it's not within his perfect nature to sin (indeed, since sin is fundamentally asserting your will over God's it's not possible by very definition for him to sin).