After digging in detail I found fix for this from
here.
For Non-TLS 1.2
szConnString = "Provider=SQLOLEDB;"
szConnString = szConnString + "data source=SQLServerName;"
szConnString = szConnString + "Initial Catalog=master;"
szConnString = szConnString + "Integrated Security=SSPI"
For TLS 1.2
szConnString = "Provider=SQLNCLI11;"
szConnString = szConnString + "SERVER=SQLServerName;"
szConnString = szConnString + "database=master;"
szConnString = szConnString + "Trusted_Connection=Yes"
msgbox "SQL Connection String: " + szConnString, INFORMATION
For TLS 1.2 is best solution because it's working in both environment.