Final answer:
DNA ligase is responsible for joining eukaryotic Okazaki fragments together.
Step-by-step explanation:
The enzyme responsible for joining eukaryotic Okazaki fragments together is DNA ligase. Okazaki fragments are short stretches of DNA that are formed on the lagging strand during DNA replication. After the RNA primers on the fragments are removed and replaced with DNA nucleotides by DNA polymerase I, DNA ligase seals the gaps between the fragments, creating a continuous DNA strand.