The next batch of prospects are set to begin their pro careers. Keep track of the first round of the 2015 MLB Draft right here.
1. Arizona Diamondbacks: Dansby Swanson, SS, Vanderbilt
Swanson, who helped lead the Commodores to the College World Series earlier in the day, is the first college shortstop to be chosen with the top selection in the draft since Brown University's Bill Almon in 1974.
2. Houston Astros (Compensation for not signing 2014 No. 1 overall pick Brady Aiken): Alex Bregman, SS, LSU
Bregman is the offensive leader of an LSU team that will play in the College World Series and has been ranked No. 1 in the country in several polls for most of the season.
3. Colorado Rockies: Brendan Rodgers, SS, Lake Mary High School (Florida)
Rodgers was widely regarded as the best prep player in the draft. He has a powerful bat to all fields, and has soft hands and good range at shortstop.
4. Texas Rangers: Dillon Tate, RHP, UC Santa Barbara
Tate was one of the best closers in the country last year, and established himself as an outstanding starter this season for the Gauchos. He went 8-5 with a 2.26 ERA and 111 strikeouts in 103 1-3 innings with a fastball that hits the upper-90s (mph) and a wicked slider to go along with a solid curve and changeup.
5. Houston Astros: Kyle Tucker, OF, Plant High School (Tampa, Florida)
Tucker broke his brother's school record with 31 career homers, and has the power to potentially move to a corner outfield spot at the next level.
6. Minnesota Twins: Tyler Jay, LHP, Illinois
7. Boston Red Sox: Andrew Benintendi, OF, Arkansas
8. Chicago White Sox: Carson Fulmer, RHP, Vanderbilt
9. Chicago Cubs: Ian Happ, OF Cincinnati
10. Philadelphia Phillies: Cornelius Randolph, SS, Griffin High School (Georgia)
11. Cincinnati Reds: Tyler Stephenson, C, Kennesaw Mountain High School (Georgia)
12. Miami Marlins: Josh Naylor, 1B/OF, St. Joan of Arc Catholic Secondary School, Mississauga, Ont., Canada
13. Tampa Bay Rays: Garrett Whitley, OF, Niskayuna High School (New York)
14. Atlanta Braves: Kolby Allard, LHP, San Clemente High School (California)
15. Milwaukee Brewers: Trent Clark, OF, Richland High School (Texas)
16. New York Yankees: James Kapriellian, RHP, UCLA
17. Cleveland Indians: Brady Aiken, LHP, IMG Academy
18. San Francisco Giants: Phil Bickford, RHP, College of Southern Nevada
19. Pittsburgh Pirates: Kevin Newman, SS, Arizona
20. Oakland Athletics: Richie Martin, SS, Florida
[RELATED: A's select Martin with 20th pick in draft]
21. Kansas City Royals: Ashe Russell, RHP, Cathedral High School (Indiana)
22. Detroit Tigers: Beau Burrows, RHP, Weatherford High School (Texas)
23. St. Louis Cardinals: Nick Plummer, OF, Brother Rice High School (Michigan)
24. Los Angeles Dodgers: Walker Buehler, RHP, Vanderbilt
25. Baltimore Orioles: D.J. Stewart, OF, Florida State
26. Los Angeles Angels: Taylor Ward, C, Fresno State
27. Colorado Rockies (for Michael Cuddyer - signed with the Mets): Mike Nikorak, Stroudsburg High School (Pennsylvania)
28. Atlanta Braves (for Ervin Santana - signed with the Twins): Mike Soroka, RHP, Bishop Carroll High School (Calgary, Alberta)
29. Toronto Blue Jays (for Melky Cabrera - signed with the White Sox): Jon Harris, RHP, Missouri State
30. New York Yankees (for David Robertson - signed with the White Sox): Kyle Holder, SS, San Diego
31. San Francisco Giants (for Pablo Sandoval - signed with the Red Sox): Chris Shaw, 1B, Boston College
32. Pittsburgh Pirates (for Russell Martin - signed with the Blue Jays): Ke'Bryan Hayes, 3B, Concordia Lutheran High School (Texas)
33. Kansas City Royals (for James Shields - signed with the Padres): Nolan Watson, Lawrence North High School (Indiana)
34. Detroit Tigers (for Max Scherzer - signed with the Nationals): Christin Stewart, OF, Tennessee
35. Los Angeles Dodgers (for Hanley Ramirez - signed with the Red Sox): Kyle Funkhouser, RHP, Louisville
36. Baltimore Orioles (for Nelson Cruz - signed with the Mariners): Ryan Mountcastle, SS, Hagerty High School (Florida)
The Associated Press contributed to this report.