diff --git a/src/Builder.php b/src/Builder.php
index c4fa0ebf..a2abbb35 100644
--- a/src/Builder.php
+++ b/src/Builder.php
@@ -579,4 +579,12 @@ protected function engine()
     {
         return $this->model->searchableUsing();
     }
+
+    /**
+     * Get the connection type for the underlying model.
+     */
+    public function modelConnectionType(): string
+    {
+        return $this->model->getConnection()->getDriverName();
+    }
 }
diff --git a/src/Engines/DatabaseEngine.php b/src/Engines/DatabaseEngine.php
index e05be059..21877ddd 100644
--- a/src/Engines/DatabaseEngine.php
+++ b/src/Engines/DatabaseEngine.php
@@ -61,6 +61,34 @@ public function search(Builder $builder)
         ];
     }
 
+    /**
+     * Get the Eloquent models for the given builder.
+     *
+     * @param  \Laravel\Scout\Builder  $builder
+     * @param  int|null  $page
+     * @param  int|null  $perPage
+     * @return \Illuminate\Database\Eloquent\Collection
+     */
+    protected function searchModels(Builder $builder, $page = null, $perPage = null)
+    {
+        return $this->buildSearchQuery($builder)
+            ->when(! is_null($page) && ! is_null($perPage), function ($query) use ($page, $perPage) {
+                $query->forPage($page, $perPage);
+            })
+            ->when($builder->orders, function ($query) use ($builder) {
+                foreach ($builder->orders as $order) {
+                    $query->orderBy($order['column'], $order['direction']);
+                }
+            })
+            ->when(! $this->getFullTextColumns($builder), function ($query) use ($builder) {
+                $query->orderBy($builder->model->getTable().'.'.$builder->model->getScoutKeyName(), 'desc');
+            })
+            ->when($this->shouldOrderByRelevance($builder), function ($query) use ($builder) {
+                $this->orderByRelevance($builder, $query);
+            })
+            ->get();
+    }
+
     /**
      * Paginate the given search on the engine.
      *
@@ -94,6 +122,9 @@ public function paginateUsingDatabase(Builder $builder, $perPage, $pageName, $pa
             ->when(! $this->getFullTextColumns($builder), function ($query) use ($builder) {
                 $query->orderBy($builder->model->getTable().'.'.$builder->model->getScoutKeyName(), 'desc');
             })
+            ->when($this->shouldOrderByRelevance($builder), function ($query) use ($builder) {
+                $this->orderByRelevance($builder, $query);
+            })
             ->paginate($perPage, ['*'], $pageName, $page);
     }
 
@@ -129,32 +160,10 @@ public function simplePaginateUsingDatabase(Builder $builder, $perPage, $pageNam
             ->when(! $this->getFullTextColumns($builder), function ($query) use ($builder) {
                 $query->orderBy($builder->model->getTable().'.'.$builder->model->getScoutKeyName(), 'desc');
             })
-            ->simplePaginate($perPage, ['*'], $pageName, $page);
-    }
-
-    /**
-     * Get the Eloquent models for the given builder.
-     *
-     * @param  \Laravel\Scout\Builder  $builder
-     * @param  int|null  $page
-     * @param  int|null  $perPage
-     * @return \Illuminate\Database\Eloquent\Collection
-     */
-    protected function searchModels(Builder $builder, $page = null, $perPage = null)
-    {
-        return $this->buildSearchQuery($builder)
-            ->when(! is_null($page) && ! is_null($perPage), function ($query) use ($page, $perPage) {
-                $query->forPage($page, $perPage);
-            })
-            ->when($builder->orders, function ($query) use ($builder) {
-                foreach ($builder->orders as $order) {
-                    $query->orderBy($order['column'], $order['direction']);
-                }
-            })
-            ->when(! $this->getFullTextColumns($builder), function ($query) use ($builder) {
-                $query->orderBy($builder->model->getTable().'.'.$builder->model->getScoutKeyName(), 'desc');
+            ->when($this->shouldOrderByRelevance($builder), function ($query) use ($builder) {
+                $this->orderByRelevance($builder, $query);
             })
-            ->get();
+            ->simplePaginate($perPage, ['*'], $pageName, $page);
     }
 
     /**
@@ -196,9 +205,11 @@ protected function initializeSearchQuery(Builder $builder, array $columns, array
             return $query;
         }
 
-        return $query->where(function ($query) use ($builder, $columns, $prefixColumns, $fullTextColumns) {
-            $connectionType = $builder->model->getConnection()->getDriverName();
+        [$connectionType] = [
+            $builder->modelConnectionType(),
+        ];
 
+        return $query->where(function ($query) use ($connectionType, $builder, $columns, $prefixColumns, $fullTextColumns) {
             $canSearchPrimaryKey = ctype_digit($builder->query) &&
                                    in_array($builder->model->getKeyType(), ['int', 'integer']) &&
                                    ($connectionType != 'pgsql' || $builder->query <= PHP_INT_MAX) &&
@@ -212,11 +223,7 @@ protected function initializeSearchQuery(Builder $builder, array $columns, array
 
             foreach ($columns as $column) {
                 if (in_array($column, $fullTextColumns)) {
-                    $query->orWhereFullText(
-                        $builder->model->qualifyColumn($column),
-                        $builder->query,
-                        $this->getFullTextOptions($builder)
-                    );
+                    continue;
                 } else {
                     if ($canSearchPrimaryKey && $column === $builder->model->getScoutKeyName()) {
                         continue;
@@ -229,9 +236,60 @@ protected function initializeSearchQuery(Builder $builder, array $columns, array
                     );
                 }
             }
+
+            if (count($fullTextColumns) > 0) {
+                $query->orWhereFullText(
+                    array_map(fn ($column) => $builder->model->qualifyColumn($column), $fullTextColumns),
+                    $builder->query,
+                    $this->getFullTextOptions($builder)
+                );
+            }
         });
     }
 
+    /**
+     * Determine if the query should be ordered by relevance.
+     */
+    protected function shouldOrderByRelevance(Builder $builder): bool
+    {
+        // MySQL orders by relevance by default, so we will only order by relevance on
+        // Postgres with no developer-defined orders. If there is developer defined
+        // order by clauses we will let those take precedence over the relevance.
+        return $builder->modelConnectionType() === 'pgsql' &&
+            count($this->getFullTextColumns($builder)) > 0 &&
+            empty($builder->orders);
+    }
+
+    /**
+     * Add an "order by" clause that orders by relevance (Postgres only).
+     *
+     * @param  \Laravel\Scout\Builder  $builder
+     * @param  \Illuminate\Database\Eloquent\Builder  $query
+     * @return \Illuminate\Database\Eloquent\Builder
+     */
+    protected function orderByRelevance(Builder $builder, $query)
+    {
+        $fullTextColumns = $this->getFullTextColumns($builder);
+
+        $language = $this->getFullTextOptions($builder)['language'] ?? 'english';
+
+        $vectors = collect($fullTextColumns)->map(function ($column) use ($builder, $language) {
+            return sprintf("to_tsvector('%s', %s)", $language, $builder->model->qualifyColumn($column));
+        })->implode(' || ');
+
+        return $query->orderByRaw(
+            sprintf(
+                'ts_rank('.$vectors.', %s(?)) desc',
+                match ($this->getFullTextOptions($builder)['mode'] ?? 'plainto_tsquery') {
+                    'phrase' => 'phraseto_tsquery',
+                    'websearch' => 'websearch_to_tsquery',
+                    default => 'plainto_tsquery',
+                },
+            ),
+            [$builder->query]
+        );
+    }
+
     /**
      * Add additional, developer defined constraints to the search query.
      *
diff --git a/src/Scout.php b/src/Scout.php
index b83632ca..dcc61dd4 100644
--- a/src/Scout.php
+++ b/src/Scout.php
@@ -2,6 +2,7 @@
 
 namespace Laravel\Scout;
 
+use Laravel\Scout\Engines\Engine;
 use Laravel\Scout\Jobs\MakeSearchable;
 use Laravel\Scout\Jobs\RemoveFromSearch;
 
@@ -28,6 +29,14 @@ class Scout
      */
     public static $removeFromSearchJob = RemoveFromSearch::class;
 
+    /**
+     * Get a Scout engine instance.
+     */
+    public static function engine(string $engine): Engine
+    {
+        return app(EngineManager::class)->engine($engine);
+    }
+
     /**
      * Specify the job class that should make models searchable.
      *