As a general rule, we don't worry about "stoppers" unless the opponents have bid a suit. Otherwise, bidding notrump frequently describes a balanced hand (by the opener) or no better options (by responder).
Notrump openings and rebids
An opening bid of 1NT or 2NT shows a balanced hand (“standard” would be 15-17 and 20-21 respectively), but neither promises that all suits are stopped.
Opener’s 1NT or jump-to-2NT rebid also show balanced hands (12-14 and 18-19, respectively) but also don’t promise stoppers in all suits. For example:
I would rebid 1NT after 1 -1
-1 with, say
 with, say
 J74
 J74  Q76
 Q76  AKQ2
 AKQ2  J72.
 J72.
I would rebid 2NT after 1 -1
-1 with, say:
 with, say:
 A2
 A2  8764
 8764  AQ2
 AQ2  AKJ4.
 AKJ4.
In a 2/1 Abbreviation for Game Forcing GF auction, I prefer to allow opener to rebid 2NT with a flat hand, but not everything stopped.
I would rebid 2NT after 1 -2
-2 with, say:
 with, say:
 AJ765
 AJ765  KQ
 KQ  Q32
 Q32  J76.
 J76.
 
 I would not rebid 2NT with a small doubleton in an unbid suit, preferring to raise partner with 3 trumps if need be.
1NT response:
A response of 1NT to 1 or 1
 or 1 says nothing about stoppers. Responder might have several suits unstopped.
 says nothing about stoppers. Responder might have several suits unstopped.
For example, I would respond 1NT to 1 with, say:
 with, say:
 K6
 K6  765
 765  J75
 J75  K7642.
 K7642. 
But, if the opponents overcall, responder’s 1NT shows a stopper(s) in their suit.
For example: 1 (1
 (1 ) bid 1NT with:
) bid 1NT with:
 KJ6
 KJ6  652
 652  QJ6
 QJ6  Q764.
 Q764.
A response of 1NT to 1 or 1
 or 1 (by partnership agreement, possibly “forcing” or “semiforcing”) says nothing about stoppers. Again, if the opponents overcall (such as 1
 (by partnership agreement, possibly “forcing” or “semiforcing”) says nothing about stoppers. Again, if the opponents overcall (such as 1 after 1
 after 1 ), the 1NT response shows a stopper(s) in their suit.
), the 1NT response shows a stopper(s) in their suit.
Example:
 1 P 1NT with:
 P 1NT with:
 86
 86  62
 62  QJ86
 QJ86  AJ764.
 AJ764.
But...
 1 (1
 (1 ) 1NT with:
) 1NT with:
 AJ62
 AJ62  52
 52  QJ6
 QJ6  10764.
 10764.
2NT response:
Assuming it isn’t conventional (like Jacoby 2NT), a response of 2NT would tend to show the unbid suits stopped. If there is an overcall, then 2NT definitely shows their suit stopped.
Example:
 1 P 2NT with:
 P 2NT with:
 Q106
 Q106  K82
 K82  J86
 J86  AJ64.
 AJ64.
1 (2
 (2 ) 2NT with:
) 2NT with:
 KJ6
 KJ6  Q52
 Q52  QJ6
 QJ6  Q764.
 Q764.
3NT response:
This should show a stopper(s) in all unbid suits (and definitely so after an overcall).
Example:
1 P 3NT with:
 P 3NT with:
 AJ6
 AJ6  KQ2
 KQ2  986
 986  KJ64.
 KJ64.
1 (1
 (1 ) 3NT with:
) 3NT with:
 KQ6
 KQ6  K52
 K52  QJ62
 QJ62  K82.
 K82.
If our side has bid two suits, natural bids in notrump tend to show stoppers in the unbid suits (but not guaranteed). If the opponents have bid a suit, then the notrump bidder is assumed to have that suit stopped. If stuck, you might have to bid 3NT naturally with an unbid suit(s) completely unstopped, such as:
1 (3
 (3 ) 3NT with:
) 3NT with:
 1076
 1076  K2
 K2  AKQ106
 AKQ106  Q54.
 Q54.
Or, (3 ) 3NT with:
) 3NT with:
 AQ2
 AQ2  K
 K  J32
 J32  AKQJ106.
 AKQJ106.
If your side has bid 3 suits, a notrump bid should deliver a stopper in the 4th suit. For example, after 1 -1
-1 -2
-2 , a heart stopper would be expected for a notrump bid.
, a heart stopper would be expected for a notrump bid.
If the auction gets complicated, assume that the notrump bidder always has the opponent’s suit stopped. If he doesn’t, he shouldn’t bid notrump (sometimes a cuebid, often called a “Western cuebid,” can be used).
Conventional notrump bids (such as Unusual notrump, Jacoby 2NT) obviously say nothing about stoppers (nor anything about notrump shape).
For more, try this quiz.
Updated: February 2023