diff --git a/backend/app/routers/auth.py b/backend/app/routers/auth.py
new file mode 100644
index 0000000..fc71e96
--- /dev/null
+++ b/backend/app/routers/auth.py
@@ -0,0 +1,66 @@
+"""Authentication routes."""
+from datetime import timedelta
+from fastapi import APIRouter, Depends, HTTPException, status
+from fastapi.security import OAuth2PasswordBearer, OAuth2PasswordRequestForm
+from sqlalchemy.orm import Session
+from passlib.context import CryptContext
+
+from app.database import get_db
+from app.models.user import User
+from app.schemas.auth import Token, LoginRequest
+from app.schemas.user import UserCreate, UserResponse
+from app.config import settings
+
+pwd_context = CryptContext(schemes=["bcrypt"], deprecated="auto")
+oauth2_scheme = OAuth2PasswordBearer(tokenUrl="/api/v1/auth/login")
+
+router = APIRouter(prefix="/auth", tags=["auth"])
+
+def verify_password(plain_password: str, hashed_password: str) -> bool:
+    """Verify password."""
+    return pwd_context.verify(plain_password, hashed_password)
+
+def get_password_hash(password: str) -> str:
+    """Hash password."""
+    return pwd_context.hash(password)
+
+def create_access_token(data: dict, expires_delta: timedelta | None = None):
+    """Create access token."""
+    from jose import jwt
+    to_encode = data.copy()
+    expire = datetime.utcnow() + (expires_delta or timedelta(minutes=15))
+    to_encode.update({"exp": expire})
+    return jwt.encode(to_encode, settings.SECRET_KEY, algorithm=settings.ALGORITHM)
+
+@router.post("/register", response_model=UserResponse)
+def register(user: UserCreate, db: Session = Depends(get_db)):
+    """Register new user."""
+    db_user = db.query(User).filter(User.email == user.email).first()
+    if db_user:
+        raise HTTPException(status_code=400, detail="Email already registered")
+    hashed_password = get_password_hash(user.password)
+    db_user = User(
+        email=user.email,
+        username=user.username,
+        hashed_password=hashed_password,
+        full_name=user.full_name
+    )
+    db.add(db_user)
+    db.commit()
+    db.refresh(db_user)
+    return db_user
+
+@router.post("/login", response_model=Token)
+def login(form_data: OAuth2PasswordRequestForm = Depends(), db: Session = Depends(get_db)):
+    """Login user."""
+    user = db.query(User).filter(User.username == form_data.username).first()
+    if not user or not verify_password(form_data.password, user.hashed_password):
+        raise HTTPException(
+            status_code=status.HTTP_401_UNAUTHORIZED,
+            detail="Incorrect username or password"
+        )
+    access_token = create_access_token(
+        data={"sub": str(user.id)},
+        expires_delta=timedelta(minutes=settings.ACCESS_TOKEN_EXPIRE_MINUTES)
+    )
+    return {"access_token": access_token, "token_type": "bearer"}