Hi,

You can take the help of the documentation shared below,

https://learn.microsoft.com/en-us/azure/databricks/query-federation/postgresql 

CREATE CONNECTION <connection-name> TYPE postgresql
OPTIONS (
host '<hostname>',
port '<port>',
user '<user>',
password '<password>'
);
When I am running the above code mentioned in the documentation I am getting errors

CREATE CONNECTION <connection-name> TYPE postgresql
OPTIONS (
host '<hostname>',
port '<port>',
user '<user>',
password '<password>'
);
When I am running the above code mentioned in the documentation I am getting errors

Again: is your local network and the database open for external connections?
Do you have a static ip (or dynDNS)?

yes I have opened the database for external connections and its static.

driver = "org.postgresql.Driver"

database_host = "<database-host-url>"
database_port = "5432" # update if you use a non-default port
database_name = "<database-name>"
table = "<table-name>"
user = "<username>"
password = "<password>"

url = f"jdbc:postgresql://{database_host}:{database_port}/{database_name}"

remote_table = (spark.read
.format("jdbc")
.option("driver", driver)
.option("url", url)
.option("dbtable", table)
.option("user", user)
.option("password", password)
.load()
)
I have also tried this code also and this also has the issues

Could you please suggest a solution to the above query.

Databricks does not have connectivity to your local network out of the box.
You should setup a VNet and VNet peering (and also firewall rules).
Connect your Azure Databricks workspace to your on-premises network - Azure Databricks | Microsoft L...

Networking - Azure Databricks | Microsoft Learn