Not sure totally accurate, but as of March 15:
Here’s an updated list of Houston draft picks in 2024:
Round 2, 42nd
Round 2, 59th
Round 3, 86th
Round 4, 123rd
Round 4, 127th
Round 6, 188th
Round 7, 238th
Round 7, 247th
After having two top-three picks in the 2023 NFL Draft, the Houston Texans are officially out of the first round in the 2024 draft. Houston traded its 23rd overall pick and a seventh-round pick for the Minnesota Vikings’ second-rounder (42nd) and sixth-rounder (188th), along with a 2025 second-round pick, per Ian Rapoport of NFL Network.
The Texans already traded their first-round pick this season when they moved up and selected Will Anderson Jr. third overall in 2023. The 23rd pick was originally the Cleveland Browns, but they traded the pick to Houston, along with other draft capital, for Deshaun Watson in 2022.
https://www.lonestarlive.com/texans/2024/03/an-updated-list-of-the-texans-draft-picks-following-their-trade-with-the-vikings.html#:~:text=Here’s an updated list of Houston draft picks,4%2C 127th Round 6%2C 188th Round 7%2C 238th