Stable AMO Version, see changelog for details.

Cross-browser NoScript on the chrome web store

Supported browsers: Firefox (Desktop and Mobile on Android), SeaMonkey, Tor Browser (where it is built-in), Chromium/Chrome.
Other browsers based on Gecko versions >= 45 might work, but are not tested.

Direct download

You can get latest stable version here, too, using this direct download link for NoScript 11.0.36
To install, just drag and drop it onto your address bar.

v 11.0.36
============================================================
x Fixed regression: temporary permissions revocation not
  working anymore on privileged pages
x SendSyncMessage script execution safety net more
  compatible with other extensions (e.g. BlockTube)

You can still download NoScript "Classic" (5.1.9) (SHA256) for Palemoon, Seamonkey, Waterfox and possibly other "vintage" (pre-Gecko 57) Firefox forks here: we'll do our best to provide security fixes as long as supporting browser still guarantee their own security updates.

Notice: you may need to open about:config and set your xpinstall.signatures.required preference to false in order to install NoScript 5.x, since Mozilla doesn't support signatures for legacy add-ons anymore. If you're using a non ESR Firefox, you may also need this hack.

v 5.1.9
=============================================================
x Fixed automatic reload bug (thanks ThomasW and barbaz for
  reporting)

Users of Firefox 44 and below are urged to upgrade their very unsafe browser. For those few who can't,

• latest NoScript version compatible with Gecko 46 - Gecko 56 is 5.1.9 (SHA256);
• latest NoScript version compatible with Gecko 13 - Gecko 45 is 2.9.0.14 (SHA256);
• latest NoScript version compatible with Gecko 1.9 - Gecko 12 is 2.9.0.1rc1 (SHA256);
• latest NoScript version compatible with Gecko < 1.9 is 1.10 (SHA256).

Development version

If you're brave enough and you need a specific feature or fix not released yet, or you simply want to provide feedback before official release, you may want try this
"Quantum" NoScript 11.0.37rc1 development build

Starting with NoScript 10.1.8.3, NoScript's public source code repository is hosted on Github.

Recent development history:

v 11.0.37rc1
============================================================
x Updated TLDs
x sendSyncMessage support for multiple suspension requests 
  (should fix extension script injection issues)

v 11.0.36rc1
============================================================
x Fixed regression: temporary permissions revocation not
  working anymore on privileged pages
x SendSyncMessage script execution safety net more
  compatible with other extensions (e.g. BlockTube)

v 11.0.35rc4
============================================================
x Avoid unnecessary reloads on temporary permissions
  revocation
x Fixed potentially infinite loop in SyncMessage Firefox
  implementation
x [UI] Removed accidental cyan background for site labels
x [L10n] Updated es

v 11.0.35rc3
============================================================
x Work-around for conflict with extensions inserting
  elements into content pages' DOM early
x [XSS] Updated HTML events

v 11.0.35rc2
============================================================
x Updated TLDs
x Fixed buggy policy references in the Options dialog
x More accurate NOSCRIPT element emulation
x Anticipate onScriptDisabled surrogates to first script-src
  'none' CSP violation
x isTrusted checks for all the content events
x Improved look in mobile portrait mode

v 11.0.35rc1
============================================================
x Let SyncMessage prevent undesired script execution
  scheduled during suspension

Feedback

If you find something wrong about NoScript, read the FAQ page and/or let me know: I'll try to fix it as soon as I can.

You can also discuss about NoScript on this Forum.

Have your safest browsing experience!