Tried several times to book online for my wife and I using my credit card. The airline website requires a security check, which I allowed. But the system concluded that card is stolen and refused my payment. I called Visa, they haven't received any request from the airline. I called the airline agents several times and beg them to contact their IT about the problem. They are not understanding and cooperative at all. Very frustating experience!
Look for promotions: Most airlines have special offers almost all the time. These offers are usually valid only for specific destinations and for specific dates (or days of week). If you are flexible on dates, check "what is on sale now", to get the best price! If there is no discount on your desired route and if your dates are flexible, you can wait for 2 to 4 weeks for a promotion on that particular route.
Website:Book directly on the Air Lituanica website