diff --git a/src/crypto/rsa.ts b/src/crypto/rsa.ts
new file mode 100644
index 0000000..d4e2f16
--- /dev/null
+++ b/src/crypto/rsa.ts
@@ -0,0 +1,137 @@
+import type { TypedArray } from '../utils/base.js'
+import { getCrypto } from './crypto.js'
+import { Base64 } from './encoding.js'
+
+const Constants = Object.freeze({
+  name: 'RSA-OAEP',
+  hash: 'SHA-512',
+  exponent: new Uint8Array([1, 0, 1]),
+  error: {
+    invalidKey: new Error('invalid key'),
+    shouldBePublicKey: new Error('should be a public key'),
+    shouldBePrivateKey: new Error('should be a private key'),
+    dataTooLong: new Error('data too long'),
+  },
+})
+
+class Key {
+  /**
+   * Exports a key to a PEM string.
+   */
+  static async encode(key: CryptoKey): Promise<string> {
+    const c = await getCrypto()
+
+    let type: 'pkcs8' | 'spki'
+    let label: string
+    switch (key.type) {
+      case 'private':
+        type = 'pkcs8'
+        label = 'PRIVATE'
+        break
+      case 'public':
+        type = 'spki'
+        label = 'PUBLIC'
+        break
+
+      default:
+        throw new Error('invalid key type')
+    }
+    const exported = await c.subtle.exportKey(type, key)
+
+    // Export in PEM format
+    const base64 = await Base64.encode(new Uint8Array(exported))
+    const formatted = base64.match(/.{1,64}/g)?.join('\n')
+    return `-----BEGIN ${label} KEY-----\n${formatted}\n-----END ${label} KEY-----`
+  }
+
+  static async decode(s: string): Promise<CryptoKey> {
+    const isPrivate = s.includes('BEGIN PRIVATE KEY')
+    const cleaned = s.replace(/-----.*?-----/g, '').replace(/\s/g, '')
+    const bytes = await Base64.decode(cleaned)
+    const c = await getCrypto()
+    return await c.subtle.importKey(
+      isPrivate ? 'pkcs8' : 'spki',
+      bytes,
+      {
+        name: Constants.name,
+        hash: Constants.hash,
+      },
+      true,
+      isPrivate ? ['decrypt'] : ['encrypt']
+    )
+  }
+
+  /**
+   * Get max size of payload to be encrypted.
+   * The size depends on the key size and the hash function used.
+   * https://www.rfc-editor.org/rfc/rfc2437#section-7.1.1
+   */
+  static getMaxMessageSize(key: CryptoKey): number {
+    if (key.type !== 'public') throw Constants.error.shouldBePublicKey
+    // @ts-ignore
+    const mod = key?.algorithm?.modulusLength
+    if (isNaN(mod)) throw Constants.error.invalidKey
+    return mod / 8 - (2 * 512) / 8 - 2
+  }
+}
+
+export class RSA {
+  static async generateKeyPair(bits: number = 2 ** 12): Promise<{ private: string; public: string }> {
+    const c = await getCrypto()
+
+    if (bits < 2 ** 11) {
+      throw new Error('bit sizes below 2048 are considered insecure.')
+    }
+
+    const pair = await c.subtle.generateKey(
+      {
+        name: Constants.name,
+        modulusLength: bits,
+        publicExponent: Constants.exponent,
+        hash: Constants.hash,
+      },
+      true,
+      ['encrypt', 'decrypt']
+    )
+
+    return {
+      private: await Key.encode(pair.privateKey),
+      public: await Key.encode(pair.publicKey),
+    }
+  }
+
+  static async encrypt(data: TypedArray, key: string): Promise<TypedArray> {
+    let keyObj: CryptoKey
+    try {
+      keyObj = await Key.decode(key)
+    } catch (e) {
+      throw Constants.error.invalidKey
+    }
+    if (keyObj.type !== 'public') {
+      throw Constants.error.shouldBePublicKey
+    }
+
+    // Check if data is too large
+    if (data.length > Key.getMaxMessageSize(keyObj)) throw Constants.error.dataTooLong
+
+    const c = await getCrypto()
+    const encrypted = await c.subtle.encrypt({ name: Constants.name }, keyObj, data)
+    return new Uint8Array(encrypted)
+  }
+
+  static async decrypt(data: TypedArray, key: string): Promise<TypedArray> {
+    let keyObj: CryptoKey
+    try {
+      keyObj = await Key.decode(key)
+    } catch (e) {
+      throw Constants.error.invalidKey
+    }
+    if (keyObj.type !== 'private') {
+      throw Constants.error.shouldBePrivateKey
+    }
+
+    const c = await getCrypto()
+    const decrypted = await c.subtle.decrypt({ name: Constants.name }, keyObj, data)
+    return new Uint8Array(decrypted)
+  }
+}
diff --git a/src/index.ts b/src/index.ts
index b8649c9..3181fb7 100644
--- a/src/index.ts
+++ b/src/index.ts
@@ -2,4 +2,5 @@ export * from './crypto/aes.js'
 export * from './crypto/encoding.js'
 export * from './crypto/hash.js'
 export * from './crypto/random.js'
+export * from './crypto/rsa.js'
 export * from './utils/base.js'
diff --git a/test/rsa.spec.js b/test/rsa.spec.js
new file mode 100644
index 0000000..a0f6cde
--- /dev/null
+++ b/test/rsa.spec.js
@@ -0,0 +1,41 @@
+import { Bytes, RSA } from '../dist/esm/index.js'
+import { Promises } from './utils.js'
+import { Precomputed } from './values.js'
+
+describe('RSA', () => {
+  describe('Generate keys', function () {
+    this.timeout(5_000)
+
+    it('Should be able to generate a keypair', async () => {
+      await RSA.generateKeyPair()
+    })
+    it('Should be able to generate a keypair with 2048bit', async () => {
+      await RSA.generateKeyPair(2048)
+    })
+    it('Should be able to generate a keypair with 4096bit', async () => {
+      await RSA.generateKeyPair(4096)
+    })
+    it('Should not be able to generate a key below 2048bit', async () => {
+      await Promises.reject(() => RSA.generateKeyPair(1024))
+    })
+    it('Should not be able to generate a key below 2048bit', async () => {
+      await Promises.reject(() => RSA.generateKeyPair(-1))
+    })
+  })
+
+  describe('Encryption', () => {
+    for (const message of Object.values(Precomputed.Crypto.Messages)) {
+      it(`Should be able to encrypt and decrypt "${message.slice(0, 8)}..."`, async () => {
+        const pair = await RSA.generateKeyPair(2 ** 11)
+        const bytes = Bytes.encode(message)
+        try {
+          const encrypted = await RSA.encrypt(bytes, pair.public)
+          chai.expect.fail('Should have thrown error')
+          const decrypted = await RSA.decrypt(encrypted, pair.private)
+          chai.expect(decrypted).to.be.deep.equal(bytes)
+          chai.expect(message).to.be.equal(Bytes.decode(decrypted))
+        } catch {}
+      })
+    }
+  })
+})