diff --git a/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/util/DateTimeUtils.scala b/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/util/DateTimeUtils.scala
index f2cc08d89dc6..5700e2f1438d 100644
--- a/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/util/DateTimeUtils.scala
+++ b/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/util/DateTimeUtils.scala
@@ -378,6 +378,9 @@ object DateTimeUtils {
       throw QueryExecutionErrors.cannotCastUTF8StringToDataTypeError(s, TimestampType)
     }
   }
+  // See issue SPARK-35679
+  // min second cause overflow in instant to micro
+  private val MIN_SECONDS = Math.floorDiv(Long.MinValue, MICROS_PER_SECOND)
 
   /**
    * Gets the number of microseconds since the epoch of 1970-01-01 00:00:00Z from the given
@@ -385,9 +388,14 @@ object DateTimeUtils {
    * microseconds where microsecond 0 is 1970-01-01 00:00:00Z.
    */
   def instantToMicros(instant: Instant): Long = {
-    val us = Math.multiplyExact(instant.getEpochSecond, MICROS_PER_SECOND)
-    val result = Math.addExact(us, NANOSECONDS.toMicros(instant.getNano))
-    result
+    val secs = instant.getEpochSecond
+    if (secs == MIN_SECONDS) {
+      val us = Math.multiplyExact(secs + 1, MICROS_PER_SECOND)
+      Math.addExact(us, NANOSECONDS.toMicros(instant.getNano) - MICROS_PER_SECOND)
+    } else {
+      val us = Math.multiplyExact(secs, MICROS_PER_SECOND)
+      Math.addExact(us, NANOSECONDS.toMicros(instant.getNano))
+    }
   }
 
   /**
diff --git a/sql/catalyst/src/test/scala/org/apache/spark/sql/catalyst/util/DateTimeUtilsSuite.scala b/sql/catalyst/src/test/scala/org/apache/spark/sql/catalyst/util/DateTimeUtilsSuite.scala
index 58a8bff62cdb..4987c931b33a 100644
--- a/sql/catalyst/src/test/scala/org/apache/spark/sql/catalyst/util/DateTimeUtilsSuite.scala
+++ b/sql/catalyst/src/test/scala/org/apache/spark/sql/catalyst/util/DateTimeUtilsSuite.scala
@@ -820,4 +820,9 @@ class DateTimeUtilsSuite extends SparkFunSuite with Matchers with SQLHelper {
       }
     }
   }
+
+  test("SPARK-35679: instantToMicros should be able to return microseconds of Long.MinValue") {
+    assert(instantToMicros(microsToInstant(Long.MaxValue)) === Long.MaxValue)
+    assert(instantToMicros(microsToInstant(Long.MinValue)) === Long.MinValue)
+  }
 }