diff --git a/scrapy/crawler.py b/scrapy/crawler.py
index a638254f1..d669d93a8 100644
--- a/scrapy/crawler.py
+++ b/scrapy/crawler.py
@@ -290,6 +290,7 @@ class CrawlerProcess(CrawlerRunner):
         super().__init__(settings)
         configure_logging(self.settings, install_root_handler)
         log_scrapy_info(self.settings)
+        self._initialized_reactor = False
 
     def _signal_shutdown(self, signum, _):
         from twisted.internet import reactor
@@ -310,7 +311,9 @@ class CrawlerProcess(CrawlerRunner):
     def _create_crawler(self, spidercls):
         if isinstance(spidercls, str):
             spidercls = self.spider_loader.load(spidercls)
-        return Crawler(spidercls, self.settings, init_reactor=True)
+        init_reactor = not self._initialized_reactor
+        self._initialized_reactor = True
+        return Crawler(spidercls, self.settings, init_reactor=init_reactor)
 
     def start(self, stop_after_crawl=True, install_signal_handlers=True):
         """
diff --git a/tests/CrawlerProcess/multi.py b/tests/CrawlerProcess/multi.py
new file mode 100644
index 000000000..aaa1af5c5
--- /dev/null
+++ b/tests/CrawlerProcess/multi.py
@@ -0,0 +1,16 @@
+import scrapy
+from scrapy.crawler import CrawlerProcess
+
+
+class NoRequestsSpider(scrapy.Spider):
+    name = 'no_request'
+
+    def start_requests(self):
+        return []
+
+
+process = CrawlerProcess(settings={})
+
+process.crawl(NoRequestsSpider)
+process.crawl(NoRequestsSpider)
+process.start()
diff --git a/tests/test_crawler.py b/tests/test_crawler.py
index 8f6227109..957525382 100644
--- a/tests/test_crawler.py
+++ b/tests/test_crawler.py
@@ -302,6 +302,12 @@ class CrawlerProcessSubprocess(ScriptRunnerMixin, unittest.TestCase):
         self.assertIn('Spider closed (finished)', log)
         self.assertNotIn("Using reactor: twisted.internet.asyncioreactor.AsyncioSelectorReactor", log)
 
+    def test_multi(self):
+        log = self.run_script('multi.py')
+        self.assertIn('Spider closed (finished)', log)
+        self.assertNotIn("Using reactor: twisted.internet.asyncioreactor.AsyncioSelectorReactor", log)
+        self.assertNotIn("ReactorAlreadyInstalledError", log)
+
     def test_asyncio_enabled_no_reactor(self):
         log = self.run_script('asyncio_enabled_no_reactor.py')
         self.assertIn('Spider closed (finished)', log)