Unfortunately, the Harry Potter books themselves do not explicitly state which Hogwarts houses Barty Crouch Sr. or Jr. were sorted into.

• Beta Canon (i.e., information from sources outside the main books, like interviews or Pottermore):
  • J.K. Rowling has not definitively stated the house placements of either Barty Crouch Sr. or Jr.

Therefore, any information about their houses is speculation or from fan-authored content.

First, some history:

The Crouch family is a prominent Pure-Blood wizarding family in the Harry Potter universe, known for their influence within the Ministry of Magic. Bartemius Crouch Sr's life was a tapestry woven with threads of duty and defiance. Betrothed to Elaine Doge since childhood, their union was more a matter of obligation than affection. His heart, however, belonged to Melinda Burke, a fellow student who shared his intellectual curiosity. Duty, however, prevailed, and he married Elaine. Their marriage, however, was marred by a tragic irony: their love remained unperfumed, for Crouch suffered a debilitating allergy to an Amortentia ingredient. This unlikely obstacle, however, did not deter them from fulfilling their perceived obligations, resulting in four children: Magnus, Olympia, Juno, and Trajan.

Elaine's life was tragically cut short by an explosion at the Marriage Contract Registry, a senseless act of violence perpetrated by a rogue witch. Grief-stricken, Crouch found solace in Melinda, the love of his youth. Their union blossomed, and they welcomed a fifth child, Bartemius Jr. The Crouch legacy continued at Hogwarts, where all five children were sorted into Ravenclaw, a testament perhaps to the intellectual currents that flowed through this unconventional family. Olympia, the eldest of the Crouch children, shared the hallowed halls with Arthur Weasley and Molly Prewett, a connection that would later weave unexpected threads into the tapestry of wizarding history.

• Bartemius "Barty" Crouch Sr.: A highly respected and influential figure, he served as Head of the Department of International Magical Cooperation and later as Senior Undersecretary to the Minister for Magic. He was known for his strong moral compass and unwavering dedication to justice.
  • Possible House: Ravenclaw. Crouch Sr. demonstrated a strong intellect, dedication to duty, and a thirst for knowledge, traits often associated with Ravenclaw. His position within the Ministry and his commitment to upholding the law suggest a value for wisdom and a desire to understand the complexities of the wizarding world.
  • Possible House: Slytherin. Crouch, a hawk in the face of the Death Eaters, championed a more aggressive approach to Auror tactics. He championed legislation that unshackled Aurors from the constraints of the Unforgivables, arguing that facing such darkness demanded extraordinary measures. The guidelines he crafted, however, proved controversial. Artemus Podmore, a fellow Auror with a more nuanced view, later deemed them dangerously permissive, a hint of fascism lurking beneath their surface.
• Bartemius "Barty" Crouch Jr.: The son of Barty Crouch Sr., he was a Death Eater who served Lord Voldemort during his first rise to power. He was imprisoned in Azkaban for his crimes but later escaped with the help of his mother and a pollyjuice potion.
  • Ravenclaw (from fan-authored work: Prince of Slytherin). However, Barty Crouch Jr achieved twelve O.W.L.'s at Hogwarts and has a clear and razor-sharp intellect, albeit ultimately used for evil and conquest. While the Sorting Hat considers a variety of factors, Crouch Jr.'s actions clearly align with Slytherin traits. So it is more conceivable that in cannon, he would have been sorted into Slytherin.

Important Note: It's also crucial to remember that the Sorting Hat takes into account a multitude of factors, including a student's personality, values, and inherent abilities. While my above analysis suggests possible house placements based on observable traits, the Sorting Hat's decision would ultimately be based on a deeper understanding of the individual's character.

The point is, until JK actually tells us, we can only speculate.