From the poem, we can also see that the speaker and the lamb coexist peaceably within their creator's realm. The speaker uses his conversation with the lamb to convey a message that all of us have been given a place and role in this realm. With his innocent questioning, the speaker bids the lamb understand that he was created to "feed/ By the stream & o'er the mead" and to be dressed in "clothing of delight,/ Softest clothing wooly bright."
So, one thing the speaker has in common with the lamb and the lamb's creator is that all are participants in the reality that has been created on earth. The speaker asserts to the lamb that his creator is the Lamb himself. He draws a comparison between the innocent animal before him and the purity of his creator.
The biblical overtones suggest that the speaker has some knowledge about the story of Christian redemption and that he will use his voice to convey this message to the world. Both the young speaker and the animal are symbols of God's spotless character, and all three are united in a tripartite bond similar to that of the earthly trinity (Jesus, Mary, and Joseph) and the spiritual trinity (Jesus, the Father, and the Holy Spirit).
For he calls himself a Lamb:
He is meek & he is mild,
He became a little child:
I a child & thou a lamb,
We are called by his name.