diff --git a/filter-parser/src/error.rs b/filter-parser/src/error.rs
index e28685c7a..8a628156a 100644
--- a/filter-parser/src/error.rs
+++ b/filter-parser/src/error.rs
@@ -65,6 +65,7 @@ pub enum ErrorKind<'a> {
     MalformedValue,
     InOpeningBracket,
     InClosingBracket,
+    NonFiniteFloat,
     InExpectedValue(ExpectedValueKind),
     ReservedKeyword(String),
     MissingClosingDelimiter(char),
@@ -167,6 +168,9 @@ impl<'a> Display for Error<'a> {
             ErrorKind::InClosingBracket => {
                 writeln!(f, "Expected matching `]` after the list of field names given to `IN[`")?
             }
+            ErrorKind::NonFiniteFloat => {
+                writeln!(f, "Non finite floats are not supported")?
+            }
             ErrorKind::InExpectedValue(ExpectedValueKind::ReservedKeyword) => {
                 writeln!(f, "Expected only comma-separated field names inside `IN[..]` but instead found `{escaped_input}`, which is a keyword. To use `{escaped_input}` as a field name or a value, surround it by quotes.")?
             }
diff --git a/filter-parser/src/lib.rs b/filter-parser/src/lib.rs
index 8c1431d93..a9bd9b3d7 100644
--- a/filter-parser/src/lib.rs
+++ b/filter-parser/src/lib.rs
@@ -44,7 +44,6 @@ mod error;
 mod value;
 
 use std::fmt::Debug;
-use std::str::FromStr;
 
 pub use condition::{parse_condition, parse_to, Condition};
 use condition::{parse_exists, parse_not_exists};
@@ -100,12 +99,13 @@ impl<'a> Token<'a> {
         Error::new_from_external(self.span, error)
     }
 
-    pub fn parse<T>(&self) -> Result<T, Error>
-    where
-        T: FromStr,
-        T::Err: std::error::Error,
-    {
-        self.span.parse().map_err(|e| self.as_external_error(e))
+    pub fn parse_finite_float(&self) -> Result<f64, Error> {
+        let value: f64 = self.span.parse().map_err(|e| self.as_external_error(e))?;
+        if value.is_finite() {
+            Ok(value)
+        } else {
+            Err(Error::new_from_kind(self.span, ErrorKind::NonFiniteFloat))
+        }
     }
 }
 
diff --git a/milli/src/search/facet/filter.rs b/milli/src/search/facet/filter.rs
index 5da1ba7fd..9b87353b0 100644
--- a/milli/src/search/facet/filter.rs
+++ b/milli/src/search/facet/filter.rs
@@ -169,11 +169,19 @@ impl<'a> Filter<'a> {
         // field id and the level.
 
         let (left, right) = match operator {
-            Condition::GreaterThan(val) => (Excluded(val.parse()?), Included(f64::MAX)),
-            Condition::GreaterThanOrEqual(val) => (Included(val.parse()?), Included(f64::MAX)),
-            Condition::LowerThan(val) => (Included(f64::MIN), Excluded(val.parse()?)),
-            Condition::LowerThanOrEqual(val) => (Included(f64::MIN), Included(val.parse()?)),
-            Condition::Between { from, to } => (Included(from.parse()?), Included(to.parse()?)),
+            Condition::GreaterThan(val) => {
+                (Excluded(val.parse_finite_float()?), Included(f64::MAX))
+            }
+            Condition::GreaterThanOrEqual(val) => {
+                (Included(val.parse_finite_float()?), Included(f64::MAX))
+            }
+            Condition::LowerThan(val) => (Included(f64::MIN), Excluded(val.parse_finite_float()?)),
+            Condition::LowerThanOrEqual(val) => {
+                (Included(f64::MIN), Included(val.parse_finite_float()?))
+            }
+            Condition::Between { from, to } => {
+                (Included(from.parse_finite_float()?), Included(to.parse_finite_float()?))
+            }
             Condition::Exists => {
                 let exist = index.exists_faceted_documents_ids(rtxn, field_id)?;
                 return Ok(exist);
@@ -190,7 +198,7 @@ impl<'a> Filter<'a> {
                     )?
                     .map(|v| v.bitmap)
                     .unwrap_or_default();
-                let number = val.parse::<f64>().ok();
+                let number = val.parse_finite_float().ok();
                 let number_docids = match number {
                     Some(n) => {
                         let n = Included(n);
@@ -389,7 +397,8 @@ impl<'a> Filter<'a> {
             }
             FilterCondition::GeoLowerThan { point, radius } => {
                 if filterable_fields.contains("_geo") {
-                    let base_point: [f64; 2] = [point[0].parse()?, point[1].parse()?];
+                    let base_point: [f64; 2] =
+                        [point[0].parse_finite_float()?, point[1].parse_finite_float()?];
                     if !(-90.0..=90.0).contains(&base_point[0]) {
                         return Err(
                             point[0].as_external_error(FilterError::BadGeoLat(base_point[0]))
@@ -400,7 +409,7 @@ impl<'a> Filter<'a> {
                             point[1].as_external_error(FilterError::BadGeoLng(base_point[1]))
                         )?;
                     }
-                    let radius = radius.parse()?;
+                    let radius = radius.parse_finite_float()?;
                     let rtree = match index.geo_rtree(rtxn)? {
                         Some(rtree) => rtree,
                         None => return Ok(RoaringBitmap::new()),
@@ -689,4 +698,60 @@ mod tests {
         let option = Filter::from_str("     ").unwrap();
         assert_eq!(option, None);
     }
+
+    #[test]
+    fn non_finite_float() {
+        let index = TempIndex::new();
+
+        index
+            .update_settings(|settings| {
+                settings.set_searchable_fields(vec![S("price")]); // to keep the fields order
+                settings.set_filterable_fields(hashset! { S("price") });
+            })
+            .unwrap();
+        index
+            .add_documents(documents!([
+                {
+                    "id": "test_1",
+                    "price": "inf"
+                },
+                {
+                    "id": "test_2",
+                    "price": "2000"
+                },
+                {
+                    "id": "test_3",
+                    "price": "infinity"
+                },
+            ]))
+            .unwrap();
+
+        let rtxn = index.read_txn().unwrap();
+        let filter = Filter::from_str("price = inf").unwrap().unwrap();
+        let result = filter.evaluate(&rtxn, &index).unwrap();
+        assert!(result.contains(0));
+        let filter = Filter::from_str("price < inf").unwrap().unwrap();
+        assert!(matches!(
+            filter.evaluate(&rtxn, &index),
+            Err(crate::Error::UserError(crate::error::UserError::InvalidFilter(_)))
+        ));
+
+        let filter = Filter::from_str("price = NaN").unwrap().unwrap();
+        let result = filter.evaluate(&rtxn, &index).unwrap();
+        assert!(result.is_empty());
+        let filter = Filter::from_str("price < NaN").unwrap().unwrap();
+        assert!(matches!(
+            filter.evaluate(&rtxn, &index),
+            Err(crate::Error::UserError(crate::error::UserError::InvalidFilter(_)))
+        ));
+
+        let filter = Filter::from_str("price = infinity").unwrap().unwrap();
+        let result = filter.evaluate(&rtxn, &index).unwrap();
+        assert!(result.contains(2));
+        let filter = Filter::from_str("price < infinity").unwrap().unwrap();
+        assert!(matches!(
+            filter.evaluate(&rtxn, &index),
+            Err(crate::Error::UserError(crate::error::UserError::InvalidFilter(_)))
+        ));
+    }
 }