Two people named Uri where mentioned in the Bible. One was from the tribe of Judah and the other more than likely was a Levite since he was a gatekeeper.
The first one had the honor of having his son involved in the construction of the Tabernacle (the tent containing the Ark of the Covenant).
Hur > Uri > Bezalel - 1 Chronicles 2:20
Exodus 31:2-5; 35:30-33;
38:22-23:
2. "See, I have chosen Bezalel son of Uri, the son of Hur, of the tribe of Judah,
3. and I have filled him with the Spirit of God, with skill, ability and knowledge in all kinds of crafts--
4. to make artistic designs for work in gold, silver and bronze,
5. to cut and set stones, to work in wood, and to engage in all kinds of craftsmanship.
30. Then Moses said to the Israelites, "See, the LORD has chosen Bezalel son of Uri, the son of Hur, of the tribe of Judah,
31. and he has filled him with the Spirit of God, with skill, ability and knowledge in all kinds of crafts--
32. to make artistic designs for work in gold, silver and bronze,
33. to cut and set stones, to work in wood and to engage in all kinds of artistic craftsmanship.
22. (Bezalel son of Uri, the son of Hur, of the tribe of Judah, made everything the LORD commanded Moses;
23. with him was Oholiab son of Ahisamach, of the tribe of Dan--a craftsman and designer, and an embroiderer in blue, purple and scarlet yarn and fine linen.)
2 Chronicles 1:5:
5. But the bronze altar that Bezalel son of Uri, the son of Hur, had made was in Gibeon in front of the tabernacle of the LORD; so Solomon and the assembly inquired of him there.
Apparently, Uri also had another son named Geber as seen in 1 Kings 4:19:
19. Geber son of Uri--in Gilead (the country of Sihon king of the Amorites and the country of Og king of Bashan). He was the only governor over the district.
The second person existed after the Babylonian captivity and was a gatekeeper listed among "those guilty of intermarriage"- Ezra 10:24:
24. From the singers: Eliashib. From the gatekeepers: Shallum, Telem and Uri.