InversifyJS: error TS2307: Cannot find module 'inversify'

When import { TypeBinding, Kernel } from 'inversify'; getting an error TS2307: Cannot find module 'inversify'.

tsconfig.json:

{
  "compilerOptions": {
    "target": "ES5",
    "module": "commonjs",
    "sourceMap": true,
    "emitDecoratorMetadata": true,
    "experimentalDecorators": true,
    "removeComments": false,
    "noImplicitAny": false,
    "watch": true
  },
  "exclude": [
    "node_modules",
    "typings/browser.d.ts",
    "typings/browser"
  ]
}

gulp task:

var gulp = require('gulp');
var sourcemaps = require('gulp-sourcemaps');
var ts = require('gulp-typescript');

var path = ["**/*.ts", "!node_modules/**", "!typings/browser/**", "!typings/browser.d.ts", '!bin/**'];
var config = ts.createProject('./tsconfig.json');

gulp.task('ts', ['clean'], function() {
    return gulp
        .src(path, {base: './'})
        .pipe(sourcemaps.init())
        .pipe(ts(config))
        .pipe(sourcemaps.write('./'))
        .pipe(gulp.dest('./'));
});