Are they the ten commandments of Moses? No, they are not Moses' commandments but God's. God spoke them -
10 Commandments Exodus 20:1, 3-17 (King James Version)
1. And God spake all these words, saying...
3. Thou shalt have no other gods before me.
4. Thou shalt not make unto thee any graven image, or any likeness of any thing that is in heaven above, or that is in the earth beneath, or that is in the water under the earth.
5. Thou shalt not bow down thyself to them, nor serve them: for I the LORD thy God am a jealous God, visiting the iniquity of the fathers upon the children unto the third and fourth generation of them that hate me;
6. And shewing mercy unto thousands of them that love me, and keep my commandments.
7. Thou shalt not take the name of the LORD thy God in vain; for the LORD will not hold him guiltless that taketh his name in vain.
8. Remember the sabbath day, to keep it holy.
9. Six days shalt thou labour, and do all thy work:
10. But the seventh day is the sabbath of the LORD thy God: in it thou shalt not do any work, thou, nor thy son, nor thy daughter, thy manservant, nor thy maidservant, nor thy cattle, nor thy stranger that is within thy gates:
12. Honour thy father and thy mother: that thy days may be long upon the land which the LORD thy God giveth thee.
13. Thou shalt not kill.
14. Thou shalt not commit adultery.
15. Thou shalt not steal.
16. Thou shalt not bear false witness against thy neighbour.
17. Thou shalt not covet thy neighbour's house, thou shalt not covet thy neighbour's wife, nor his manservant, nor his maidservant, nor his ox, nor his ass, nor any thing that is thy neighbour's.
God also wrote the (10) ten commandments with his own finger on stone -
Exodus 24:12 (King James Version)
12. And the LORD said unto Moses, Come up to me into the mount, and be there: and I will give thee tables of stone, and a law, and commandments which I have written; that thou mayest teach them.
God gave the ten commandments to Moses -
Exodus 31:18 (King James Version)
18. And he gave unto Moses, when he had made an end of communing with him upon mount Sinai, two tables of testimony, tables of stone, written with the finger of God.
The 10 Commandments
Exodus 32:15-16 (King James Version)
15. And Moses turned, and went down from the mount, and the two tables of the testimony were in his hand: the tables were written on both their sides; on the one side and on the other were they written.
16. And the tables were the work of God, and the writing was the writing of God, graven upon the tables.
Deuteronomy 5:22 (King James Version)
22. These words the LORD spake unto all your assembly in the mount out of the midst of the fire, of the cloud, and of the thick darkness, with a great voice: and he added no more. And he wrote them in two tables of stone, and delivered them unto me.
However Moses broke the original set of (10) ten commandments when he found the Israelites breaking the 1st and 2nd commandments when he came down from Mt Sinai -
Exodus 32:7-8, 19 (King James Version)
7. And the LORD said unto Moses, Go, get thee down; for thy people, which thou broughtest out of the land of Egypt, have corrupted themselves:
8. They have turned aside quickly out of the way which I commanded them: they have made them a molten calf, and have worshipped it, and have sacrificed thereunto, and said, These be thy gods, O Israel, which have brought thee up out of the land of Egypt.
19. And it came to pass, as soon as he came nigh unto the camp, that he saw the calf, and the dancing: and Moses' anger waxed hot, and he cast the tables out of his hands, and brake them beneath the mount.
Notice that when God spoke the ten commandments he said he brought the Israelites out of Egypt, but when they committed idolatry God was so repulsed that he said Moses bought them out of Egypt.
After the sin was dealt with, God had Moses cut two more tables of stone for the ten commandments -
Exodus 34:1, 4 (King James Version)
1. And the LORD said unto Moses, Hew thee two tables of stone like unto the first: and I will write upon these tables the words that were in the first tables, which thou brakest.
4. And he hewed two tables of stone like unto the first; and Moses rose up early in the morning, and went up unto mount Sinai, as the LORD had commanded him, and took in his hand the two tables of stone.
1. At that time the LORD said unto me, Hew thee two tables of stone like unto the first, and come up unto me into the mount, and make thee an ark of wood.
2. And I will write on the tables the words that were in the first tables which thou brakest, and thou shalt put them in the ark.
3. And I made an ark of shittim wood, and hewed two tables of stone like unto the first, and went up into the mount, having the two tables in mine hand.
4. And he wrote on the tables, according to the first writing, the ten commandments, which the LORD spake unto you in the mount out of the midst of the fire in the day of the assembly: and the LORD gave them unto me.
5. And I turned myself and came down from the mount, and put the tables in the ark which I had made; and there they be, as the LORD commanded me.
Exodus 40:20-21 (King James Version)
20. And he took and put the testimony into the ark, and set the staves on the ark, and put the mercy seat above upon the ark:
21. And he brought the ark into the tabernacle, and set up the vail of the covering, and covered the ark of the testimony; as the LORD commanded Moses.