Player Draft
| Name | State | School | Class | Pos. | Year | Round | Team |
| Daniel Harper | KS | Bishop Miege | 2017 | RHP | 2022 | 17 | Phillies |
| Landon Harper | MS | Northeast Laudurdale | 2019 | RHP | 2022 | 14 | Braves |
| Jake Harrell | CA | Sanger | 2019 | LHP | 2019 | 39th | Indians |
| Andrew Harrington | KY | Central Hardin | 2013 | LHP | 2016 | 3 | Braves |
| Thomas Harrington | NC | Southern Lee | 2020 | RHP | 2022 | CBA | Pirates |
| Brett Harris | IL | Hersey | 2016 | 3B | 2021 | 7 | Oakland Athletics |
| Hogan Harris | LA | St. Thomas Moore | 2015 | LHP | 2018 | 3rd | Athletics |
| Calvin Harris | IA | Western Dubuque | 2020 | C | 2023 | 4 | White Sox |
| Dakota Harris | FL | Land O Lakes | 2020 | SS | 2023 | 11 | Cardinals |
| Ben Harris | GA | Milton | 2018 | LHP | 2021 | 8th | Los Angeles Dodgers |
| Jawuan Harris | FL | St. Thomas Aquinas | 2015 | OF | 2018 | 7 | San Diego Padres |
| Michael Harris II | GA | Stockbridge | 2019 | OF | 2019 | 3 | Atlanta Braves |
| Monte Harrison | MO | Lee's Summit West | 2014 | OF | 2014 | 2 | Brewers |
| Devereaux Harrison | CA | Vacaville | 2019 | RHP | 2022 | 9 | Blue Jays |
| Kyle Harrison | CA | De La Salle | 2020 | LHP | 2020 | 3 | San Francisco |
| Charles Harrison | CA | Canyon | 2019 | RHP | 2023 | 7 | Cardinals |
| Kalae Harrison | HI | Punahou | 2020 | SS | 2023 | 18 | Pirates |
| Trevor Harrison | FL | JW Mitchell | 2023 | RHP | 2023 | 5 | Rays |
| Jay Harry | NJ | Metuchen | 2020 | SS | 2023 | 6 | Twins |
| Hunter Hart | IL | St. Joseph-Ogden | 2014 | RHP | 2014 | 37 | Orioles |
| Josh Hartle | NC | Reagan | 2021 | LHP | 2024 | 3 | Pirates |
| Geoff Hartlieb | IL | Highland | 2012 | RHP | 2016 | 29 | Pirates |
| Ryan Hartman | IL | Mount Zion | 2010 | RHP | 2010 | 16 | Cubs |
| Ryan Harvey | CA | Woodcreek | 2019 | RHP | 2022 | 11 | Yankees |
| Andrew Hasler | IN | Mishawaka Marian | 2012 | RHP | 2015 | 34 | White Sox |
| Robert Hassell III | TN | Independence | 2020 | OF | 2020 | 1st | San Diego Padres |
| Tommy Hawke | NC | Reagan | 2021 | SS | 2023 | 6 | Guardians |
| Garrett Hawkins | AB | Vauxhall Academy | 2018 | RHP | 2021 | 9 | San Diego Padres |
| Ryan Hawks | KY | Warren East | 2019 | RHP | 2023 | 8 | Mariners |
| Cody Hawthorne | IL | Galesburg | 2016 | LHP | 2018 | 21 | Rangers |
| Luke Hayden | IN | Edgewood | 2021 | RHP | 2024 | 8 | Reds |
| Alex Haynes | TN | Knoxville Central | 2016 | RHP | 2019 | 15th | Colorado Rockies |
| Jagger Haynes | NC | West Columbus | 2020 | LHP | 2020 | 5 | San Diego Padres |
| John Hudson Head | TX | Churchill | 2019 | OF | 2019 | 3 | San Diego Padres |
| Dillon Head | IL | Homewood Flossmoor | 2023 | OF | 2023 | 1 | Padres |
| Will Headean | IL | Morton | 2012 | LHP | 2015 | 13 | Padres |
| Brent Headrick | IL | Reed-Custer | 2016 | LHP | 2019 | 9 | Twins |
| Nick Heath | KS | Junction City | 2012 | OF | 2016 | 16 | Royals |
| Tyson Heaton | CA | Yucaipa | 2019 | RHP | 2019 | 40th | Angels |
| Ben Hecht | IL | Effingham St. Anthony | 2013 | RHP | 2017 | 12 | Cubs |
| Derek Heffel | WI | Racine St. Catherines | 2014 | RHP | 2016 | 14 | Rangers |
| Dylan Heid | PA | Great Valley | 2017 | RHP | 2021 | 11 | Orioles |
| Jesse Heikkinen | MI | Holt | 2017 | LHP | 2017 | 36 | Tigers |
| Jason Heinrich | FL | River Ridge | 2015 | 1B | 2015 | 5 | Orioles |
| Jeff Heinrich | IL | Huntley | 2017 | 3B | 2019 | 40 | Giants |
| Brenden Heiss | IL | Jacobs | 2016 | RHP | 2016 | 31 | Cubs |
| Ixan Henderson | CA | Clovis West | 2020 | LHP | 2023 | 8 | Cardinals |
| Austin Hendrick | PA | West Allegheny | 2020 | OF | 2020 | 1 | Reds |
| Michael Hendrickson | MI | Saline | 2014 | LHP | 2017 | 28 | Indians |
| John Hendry | IL | Notre Dame | 2016 | RHP | 2016 | 32 | Rockies |
| Brian Hendry | NJ | Shawnee | 2018 | RHP | 0 | 10 | Yankees |
| Kyle Henley | GA | Denmark | 2023 | OF | 2023 | 14 | Cincinnati Reds |
| Rob Hensey | NY | Goshen | 2018 | LHP | 2022 | 9 | Reds |
| Jake Henson | MO | Francis Howell Central | 2012 | C | 2015 | 21 | Dodgers |
| Sam Hentges | MN | Mounds View | 2014 | LHP | 2014 | 4 | Indians |
| Jacob Herbert | FL | George W. Jenkins | 2019 | C | 2019 | 18th | Boston Red Sox |
| Jack Herman | NJ | Eastern Regional | 2018 | OF | 2018 | 30 | Pittsburgh Pirates |
| Sean Hermann | FL | Durant | 2021 | RHP | 2021 | 14 | New York Yankees |
| Michael Hermosillo | IL | Ottawa | 2013 | OF | 2013 | 28 | Angels |
| Ben Hernandez | IL | De La Salle | 2020 | RHP | 2020 | 2 | Royals |
| Allan Hernandez | FL | Miami Christian | 2019 | RHP | 2019 | 12th | Cleveland Indians |
| Samuel Hernandez | FL | Lakeland | 2022 | C | 2022 | 14 | Blue Jays |
| Travis Herrin | IN | Lebanon | 2013 | RHP | 2015 | 18 | Angels |
| Timmy Herrin | IN | Terre Haute South | 2015 | LHP | 2018 | 29 | Indians |
| Griffin Herring | TX | Southlake Carroll | 2022 | LHP | 2024 | 6 | Yankees |
| Dan Herrmann | MO | CBC | 2013 | RHP | 2013 | 20 | Mets |
| Jimmy Herron | PA | La Salle | 2015 | OF | 2018 | 3 | Cubs |
| Anthony Herron | MO | Affton | 2014 | RHP | 2017 | 19 | White Sox |
| Cole Hertzler | PA | Boyertown Area | 2021 | RHP | 2024 | 5 | Astros |
| Zack Hess | VA | Liberty Christian Academy | 2016 | RHP | 2019 | 7th | Tigers |
| Ben Hess | IL | Charleston | 2021 | RHP | 2024 | 1 | Yankees |
| Kehden Hettiger | CA | Sierra Canyon | 2023 | C | 2023 | 11 | Phillies |
| Jeffrey Heuer | GA | Home School | 2023 | RHP | 2023 | 16 | Cleveland Guardians |
| Nick Hibbing | IL | Lakes | 2011 | RHP | 2015 | 16 | Pirates |
| Matthew Hickey | TX | Granbury | 2017 | RHP | 2022 | 15 | Cardinals |
| Blake Hickman | IL | Simeon | 2012 | C | 2015 | 7 | White Sox |
| Mason Hickman | TN | Pope John Paul II | 2017 | RHP | 2020 | 5th | Cleveland Indians |
| Liam Hicks | ON | Lawrence Park CI | 2017 | C | 2021 | 9 | Texas Rangers |
| James Hicks | AR | Conway | 2019 | RHP | 2022 | 15 | Orioles |
| Connor Higgins | PA | Parkland | 2015 | LHP | 2018 | 30 | Angels |
| Ryan Higgins | CA | St Francis | 2018 | 3B | 2021 | 9 | BAL |
| Cobb Hightower | NC | East Rowan | 2024 | SS | 2024 | 3 | Padres |
| Evan Hill | MI | Mt. Pleasant | 2012 | LHP | 2016 | 24 | Tigers |
| Glenallen Hill | CA | Santa Cruz | 2019 | OF | 2019 | 4th | Diamondbacks |
| Camron Hill | GA | Whitewater | 2021 | LHP | 2024 | 8 | Phillies |
| Dasan Hill | TX | Grapevine | 2024 | LHP | 2024 | CB-B | Twins |
| Ryan Hinchley | IL | York | 2011 | LHP | 2015 | 9 | White Sox |
| Rece Hinds | FL | IMG Academy | 2019 | 3B | 2019 | 2nd | Cincinnati Reds |
| Chad Hinshaw | IL | Normal Community | 2009 | OF | 2013 | 15 | Angels |
| Robert Hipwell | CA | Scotts Valley | 2021 | 1B | 2024 | 6 | Giants |
| Zach Hirsch | IL | St. Charles North | 2009 | LHP | 2014 | 19 | Brewers |
| Grayson Hitt | TN | Houston | 2020 | LHP | 2023 | 4 | Diamondbacks |
| Cooper Hjerpe | CA | Woodland | 2019 | LHP | 2022 | 1 | Cardinals |
| Carson Hobbs | AL | Thompson | 2020 | RHP | 2023 | 11 | Dodgers |
| Michael Hobbs | CA | Corona | 2016 | RHP | 2021 | 10 | Dodgers |
| Caleb Hobson | MS | Pontotoc | 2020 | - | 2023 | 13 | Rockies |
| Colton Hock | PA | Bloomsburg Area | 2014 | RHP | 2017 | 4 | Marlins |
| Jason Hodges | IL | Marist | 2019 | OF | 2019 | 34 | Reds |
| Douglas Hodo | TX | Boerne | 2019 | OF | 2022 | 6 | Orioles |
| Bryan Hoeing | IN | Batesville | 2015 | RHP | 2019 | 7 | Marlins |