diff --git a/core/testcontainers/core/generic.py b/core/testcontainers/core/generic.py
index 7faac273a..3b9dcfe28 100644
--- a/core/testcontainers/core/generic.py
+++ b/core/testcontainers/core/generic.py
@@ -29,11 +29,13 @@ class DbContainer(DockerContainer):
     """
     Generic database container.
     """
+
     @wait_container_is_ready(*ADDITIONAL_TRANSIENT_ERRORS)
     def _connect(self) -> None:
         import sqlalchemy
         engine = sqlalchemy.create_engine(self.get_connection_url())
-        engine.connect()
+        conn = engine.connect()
+        conn.close()
 
     def get_connection_url(self) -> str:
         raise NotImplementedError
diff --git a/postgres/setup.py b/postgres/setup.py
index 1d9abd351..4257fc33e 100644
--- a/postgres/setup.py
+++ b/postgres/setup.py
@@ -14,6 +14,7 @@
         "testcontainers-core",
         "sqlalchemy",
         "psycopg2-binary",
+        "asyncpg",
     ],
     python_requires=">=3.7",
 )
diff --git a/postgres/testcontainers/postgres/__init__.py b/postgres/testcontainers/postgres/__init__.py
index 85e0bac80..45e12d9cf 100644
--- a/postgres/testcontainers/postgres/__init__.py
+++ b/postgres/testcontainers/postgres/__init__.py
@@ -14,6 +14,14 @@
 from typing import Optional
 from testcontainers.core.generic import DbContainer
 from testcontainers.core.utils import raise_for_deprecated_parameter
+from testcontainers.core.waiting_utils import wait_container_is_ready
+
+ADDITIONAL_TRANSIENT_ERRORS = []
+try:
+    from sqlalchemy.exc import DBAPIError
+    ADDITIONAL_TRANSIENT_ERRORS.append(DBAPIError)
+except ImportError:
+    pass
 
 
 class PostgresContainer(DbContainer):
@@ -39,10 +47,15 @@ class PostgresContainer(DbContainer):
             >>> version
             'PostgreSQL 9.5...'
     """
+
+    DEFAULT_DRIVER = "psycopg2"
+
     def __init__(self, image: str = "postgres:latest", port: int = 5432,
                  username: Optional[str] = None, password: Optional[str] = None,
-                 dbname: Optional[str] = None, driver: str = "psycopg2", **kwargs) -> None:
+                 dbname: Optional[str] = None, driver: Optional[str] = None, **kwargs) -> None:
         raise_for_deprecated_parameter(kwargs, "user", "username")
+        if driver is None:
+            driver = self.DEFAULT_DRIVER
         super(PostgresContainer, self).__init__(image=image, **kwargs)
         self.username = username or os.environ.get("POSTGRES_USER", "test")
         self.password = password or os.environ.get("POSTGRES_PASSWORD", "test")
@@ -52,14 +65,24 @@ def __init__(self, image: str = "postgres:latest", port: int = 5432,
 
         self.with_exposed_ports(self.port)
 
+    @wait_container_is_ready(*ADDITIONAL_TRANSIENT_ERRORS)
+    def _connect(self) -> None:
+        import sqlalchemy
+        engine = sqlalchemy.create_engine(self.get_connection_url(driver=self.DEFAULT_DRIVER))
+        conn = engine.connect()
+        conn.close()
+
     def _configure(self) -> None:
         self.with_env("POSTGRES_USER", self.username)
         self.with_env("POSTGRES_PASSWORD", self.password)
         self.with_env("POSTGRES_DB", self.dbname)
 
-    def get_connection_url(self, host=None) -> str:
+    def get_connection_url(self, host: Optional[str] = None, driver: Optional[str] = None) -> str:
+        if driver is None:
+            driver = self.driver
+
         return super()._create_connection_url(
-            dialect=f"postgresql+{self.driver}", username=self.username,
+            dialect=f"postgresql+{driver}", username=self.username,
             password=self.password, dbname=self.dbname, host=host,
             port=self.port,
         )
diff --git a/postgres/tests/test_postgres.py b/postgres/tests/test_postgres.py
index c00c1b3fe..9042f0b8e 100644
--- a/postgres/tests/test_postgres.py
+++ b/postgres/tests/test_postgres.py
@@ -1,4 +1,6 @@
+import pytest
 import sqlalchemy
+from sqlalchemy.ext.asyncio import create_async_engine
 from testcontainers.postgres import PostgresContainer
 
 
@@ -18,3 +20,13 @@ def test_docker_run_postgres_with_driver_pg8000():
         engine = sqlalchemy.create_engine(postgres.get_connection_url())
         with engine.begin() as connection:
             connection.execute(sqlalchemy.text("select 1=1"))
+
+
+@pytest.mark.asyncio
+async def test_docker_run_async_postgres():
+    with PostgresContainer("postgres:9.5", driver="asyncpg") as postgres:
+        engine = create_async_engine(postgres.get_connection_url())
+        async with engine.begin() as connection:
+            result = await connection.execute(sqlalchemy.text("select version()"))
+            for row in result:
+                assert row[0].lower().startswith("postgresql 9.5")
diff --git a/requirements.in b/requirements.in
index e9e122610..1d269f885 100644
--- a/requirements.in
+++ b/requirements.in
@@ -26,6 +26,7 @@ flake8<3.8.0  # 3.8.0 adds a dependency on importlib-metadata which conflicts wi
 pg8000
 pytest
 pytest-cov
+pytest-asyncio
 sphinx
 twine
 wheel