diff --git a/filter-parser/src/lib.rs b/filter-parser/src/lib.rs
index ed36b1bf4..0e49e00e9 100644
--- a/filter-parser/src/lib.rs
+++ b/filter-parser/src/lib.rs
@@ -113,6 +113,24 @@ pub enum FilterCondition<'a> {
 }
 
 impl<'a> FilterCondition<'a> {
+    /// Returns the first token found at the specified depth, `None` if no token at this depth.
+    pub fn token_at_depth(&self, depth: usize) -> Option<&Token> {
+        match self {
+            FilterCondition::Condition { fid, .. } if depth == 0 => Some(fid),
+            FilterCondition::Or(left, right) => {
+                let depth = depth.saturating_sub(1);
+                right.token_at_depth(depth).or_else(|| left.token_at_depth(depth))
+            }
+            FilterCondition::And(left, right) => {
+                let depth = depth.saturating_sub(1);
+                right.token_at_depth(depth).or_else(|| left.token_at_depth(depth))
+            }
+            FilterCondition::GeoLowerThan { point: [point, _], .. } if depth == 0 => Some(point),
+            FilterCondition::GeoGreaterThan { point: [point, _], .. } if depth == 0 => Some(point),
+            _ => None,
+        }
+    }
+
     pub fn negate(self) -> FilterCondition<'a> {
         use FilterCondition::*;
 
@@ -584,4 +602,10 @@ pub mod tests {
             assert!(filter.starts_with(expected), "Filter `{:?}` was supposed to return the following error:\n{}\n, but instead returned\n{}\n.", input, expected, filter);
         }
     }
+
+    #[test]
+    fn depth() {
+        let filter = FilterCondition::parse("account_ids=1 OR account_ids=2 OR account_ids=3 OR account_ids=4 OR account_ids=5 OR account_ids=6").unwrap();
+        assert!(filter.token_at_depth(5).is_some());
+    }
 }
diff --git a/milli/src/search/facet/filter.rs b/milli/src/search/facet/filter.rs
index e994f36d9..9d9d16de5 100644
--- a/milli/src/search/facet/filter.rs
+++ b/milli/src/search/facet/filter.rs
@@ -15,6 +15,9 @@ use crate::heed_codec::facet::{
 };
 use crate::{distance_between_two_points, CboRoaringBitmapCodec, FieldId, Index, Result};
 
+/// The maximum number of filters the filter AST can process.
+const MAX_FILTER_DEPTH: usize = 2000;
+
 #[derive(Debug, Clone, PartialEq, Eq)]
 pub struct Filter<'a> {
     condition: FilterCondition<'a>,
@@ -27,6 +30,7 @@ enum FilterError<'a> {
     BadGeoLat(f64),
     BadGeoLng(f64),
     Reserved(&'a str),
+    TooDeep,
     InternalError,
 }
 impl<'a> std::error::Error for FilterError<'a> {}
@@ -40,6 +44,10 @@ impl<'a> Display for FilterError<'a> {
                 attribute,
                 filterable,
             ),
+            Self::TooDeep => write!(f,
+                "Too many filter conditions, can't process more than {} filters.",
+                MAX_FILTER_DEPTH
+            ),
             Self::Reserved(keyword) => write!(
                 f,
                 "`{}` is a reserved keyword and thus can't be used as a filter expression.",
@@ -108,6 +116,10 @@ impl<'a> Filter<'a> {
             }
         }
 
+        if let Some(token) = ands.as_ref().and_then(|fc| fc.token_at_depth(MAX_FILTER_DEPTH)) {
+            return Err(token.as_external_error(FilterError::TooDeep).into());
+        }
+
         Ok(ands.map(|ands| Self { condition: ands }))
     }
 
@@ -116,6 +128,11 @@ impl<'a> Filter<'a> {
             Ok(fc) => Ok(fc),
             Err(e) => Err(Error::UserError(UserError::InvalidFilter(e.to_string()))),
         }?;
+
+        if let Some(token) = condition.token_at_depth(MAX_FILTER_DEPTH) {
+            return Err(token.as_external_error(FilterError::TooDeep).into());
+        }
+
         Ok(Self { condition })
     }
 }
@@ -419,6 +436,8 @@ impl<'a> From<FilterCondition<'a>> for Filter<'a> {
 
 #[cfg(test)]
 mod tests {
+    use std::fmt::Write;
+
     use big_s::S;
     use either::Either;
     use heed::EnvOpenOptions;
@@ -586,4 +605,37 @@ mod tests {
             "Bad longitude `180.000001`. Longitude must be contained between -180 and 180 degrees."
         ));
     }
+
+    #[test]
+    fn filter_depth() {
+        let path = tempfile::tempdir().unwrap();
+        let mut options = EnvOpenOptions::new();
+        options.map_size(10 * 1024 * 1024); // 10 MB
+        let index = Index::new(options, &path).unwrap();
+
+        // Set the filterable fields to be the channel.
+        let mut wtxn = index.write_txn().unwrap();
+        let mut builder = Settings::new(&mut wtxn, &index);
+        builder.set_searchable_fields(vec![S("account_ids")]);
+        builder.set_filterable_fields(hashset! { S("account_ids") });
+        builder.execute(|_| ()).unwrap();
+        wtxn.commit().unwrap();
+
+        // generates a big (2 MiB) filter with too much of ORs.
+        let tipic_filter = "account_ids=14361 OR ";
+        let mut filter_string = String::with_capacity(tipic_filter.len() * 14360);
+        for i in 1..=14361 {
+            let _ = write!(&mut filter_string, "account_ids={}", i);
+            if i != 14361 {
+                let _ = write!(&mut filter_string, " OR ");
+            }
+        }
+
+        let error = Filter::from_str(&filter_string).unwrap_err();
+        assert!(
+            error.to_string().starts_with("Too many filter conditions"),
+            "{}",
+            error.to_string()
+        );
+    }
 }