A very common claim from Atheists or other critics of the Bible is that Genesis 1 and 2 present two completely separate creation accounts, which contradict one another many times.

Order of Events in Chapter 1 and 2

The alleged discrepancies are presented as:

• In chapter 1, God makes animals, then people (Genesis 1:20-25), but in chapter 2 it says God made man (Genesis 2:7) then animals (Genesis 2:19), then woman (Genesis 2:21-23)
• In chapter 1, the birds were made from water in Genesis 1:21, but chapter 2 says they were made from ground (Genesis 2:19)
• In chapter 1, the fruit trees were made 3 days before man (Genesis 1:11-13), but in chapter 2 they were made with man (Genesis 2:9)

An uninterrupted reading of Genesis 1-2 is relatively easy to understand, and resolves the above alleged discrepancies. Genesis 2 covers the events on day 6 when God made mankind (Genesis 1:26-27), specifically in the Garden of Eden:

Genesis 2:7-8

7 And the Lord God formed man of the dust of the ground, and breathed into his nostrils the breath of life; and man became a living soul.
8 And the Lord God planted a garden eastward in Eden; and there he put the man whom he had formed.

Genesis 1:1 - Genesis 2:3 is a brief summary of the entire creation account. The rest of chapter 2 gives more details on day 6, where God formed another of each animal in the Garden of Eden for the purpose of Adam to name them, before God made Eve.