diff --git a/src/operator/src/statement/ddl.rs b/src/operator/src/statement/ddl.rs
index d1c380306b..5debbb0548 100644
--- a/src/operator/src/statement/ddl.rs
+++ b/src/operator/src/statement/ddl.rs
@@ -2169,6 +2169,7 @@ mod test {
     use sql::dialect::GreptimeDbDialect;
     use sql::parser::{ParseOptions, ParserContext};
     use sql::statements::statement::Statement;
+    use sqlparser::parser::Parser;
 
     use super::*;
     use crate::expr_helper;
@@ -2186,6 +2187,39 @@ mod test {
         assert!(!NAME_PATTERN_REG.is_match("#"));
     }
 
+    #[test]
+    fn test_partition_expr_equivalence_with_swapped_operands() {
+        let column_name = "device_id".to_string();
+        let column_name_and_type =
+            HashMap::from([(&column_name, ConcreteDataType::int32_datatype())]);
+        let timezone = Timezone::from_tz_string("UTC").unwrap();
+        let dialect = GreptimeDbDialect {};
+
+        let mut parser = Parser::new(&dialect)
+            .try_with_sql("device_id < 100")
+            .unwrap();
+        let expr_left = parser.parse_expr().unwrap();
+
+        let mut parser = Parser::new(&dialect)
+            .try_with_sql("100 > device_id")
+            .unwrap();
+        let expr_right = parser.parse_expr().unwrap();
+
+        let partition_left =
+            convert_one_expr(&expr_left, &column_name_and_type, &timezone).unwrap();
+        let partition_right =
+            convert_one_expr(&expr_right, &column_name_and_type, &timezone).unwrap();
+
+        assert_eq!(partition_left, partition_right);
+        assert!([partition_left.clone()].contains(&partition_right));
+
+        let mut physical_partition_exprs = vec![partition_left];
+        let mut logical_partition_exprs = vec![partition_right];
+        physical_partition_exprs.sort_unstable();
+        logical_partition_exprs.sort_unstable();
+        assert_eq!(physical_partition_exprs, logical_partition_exprs);
+    }
+
     #[tokio::test]
     #[ignore = "TODO(ruihang): WIP new partition rule"]
     async fn test_parse_partitions() {
diff --git a/src/partition/src/expr.rs b/src/partition/src/expr.rs
index 31eb910fdb..317a9b2711 100644
--- a/src/partition/src/expr.rs
+++ b/src/partition/src/expr.rs
@@ -185,6 +185,19 @@ impl RestrictedOp {
             Self::Or => ParserBinaryOperator::Or,
         }
     }
+
+    fn invert_for_swap(&self) -> Self {
+        match self {
+            Self::Eq => Self::Eq,
+            Self::NotEq => Self::NotEq,
+            Self::Lt => Self::Gt,
+            Self::LtEq => Self::GtEq,
+            Self::Gt => Self::Lt,
+            Self::GtEq => Self::LtEq,
+            Self::And => Self::And,
+            Self::Or => Self::Or,
+        }
+    }
 }
 impl Display for RestrictedOp {
     fn fmt(&self, f: &mut Formatter<'_>) -> std::fmt::Result {
@@ -208,6 +221,32 @@ impl PartitionExpr {
             op,
             rhs: Box::new(rhs),
         }
+        .canonicalize()
+    }
+
+    /// Canonicalize to `Column op Value` form when possible for consistent equality checks.
+    pub fn canonicalize(self) -> Self {
+        let lhs = Self::canonicalize_operand(*self.lhs);
+        let rhs = Self::canonicalize_operand(*self.rhs);
+        let mut expr = Self {
+            lhs: Box::new(lhs),
+            op: self.op,
+            rhs: Box::new(rhs),
+        };
+
+        if matches!(&*expr.lhs, Operand::Value(_)) && matches!(&*expr.rhs, Operand::Column(_)) {
+            std::mem::swap(&mut expr.lhs, &mut expr.rhs);
+            expr.op = expr.op.invert_for_swap();
+        }
+
+        expr
+    }
+
+    fn canonicalize_operand(operand: Operand) -> Operand {
+        match operand {
+            Operand::Expr(expr) => Operand::Expr(expr.canonicalize()),
+            other => other,
+        }
     }
 
     /// Convert [Self] back to sqlparser's [Expr]
@@ -354,7 +393,7 @@ impl PartitionExpr {
 
         let bound: PartitionBound = serde_json::from_str(s).context(error::DeserializeJsonSnafu)?;
         match bound {
-            PartitionBound::Expr(expr) => Ok(Some(expr)),
+            PartitionBound::Expr(expr) => Ok(Some(expr.canonicalize())),
             _ => Ok(None),
         }
     }