How to find story quests?
I think I might have missed obtaining a story quests that is important. I am about lvl 20 and I have searched all the cities and i have no quests currently in my journal.
How can I find it the story quest?
Solution 1:
In general, the next story quest in the chain can usually be picked up from the same NPC that you turned in the previous quest to immediately prior. There are a few exceptions, of course, and sometimes there are additional story quests that are picked up from other nearby NPCs (usually in the same room as the main NPC). If you do manage to lose track of where you are, though, there's a pretty simple way to do figure out what sort of quests are available to you in your current area: the Duty Recommendations list.
You can access the recommendations list through your micro menu's Duty icon; it's third from the left on the bottom row.
Selecting "Recommendations" will open the list:
In this example there are no story quests shown, but if there any quests in your current zone that you haven't picked up yet, they'll show up on this list. This list will also show you available sidequests, quest objectives, dungeons within your level range, levemetes, and other content that's appropriate for your level in your current zone. Clicking any item in the list will show you on your map where you can find that particular thing and/or open the Duty Finder window.
If you don't see any story quests in your current zone, try traveling to another zone that you've been doing stuff in lately (or zones that the story has you visiting often) and check the list to see if there's a story quest that you didn't know about. If you remember roughly where and when your last story quest took place, you could look it up in the official database, but beware of spoilers, obviously.
It's possible to make this list pop up every time you log into the game, and/or when you change zones via Character Configuration -> UI Settings -> Duty Recommendations.
Solution 2:
In addition to @cloudymusic's excellent answer, if you look in your quest journal (j) you can filter on main story quests and read the text for the last one you completed. There are often hints there as to where to go next.