Baby's first royal engagement! Seven-week-old Prince Alexander makes his public debut with proud parents Sofia and Carl Philip on Sweden's National Day

He's been hidden from the limelight during the first precious weeks of his life, but today Prince Alexander of Sweden made his public debut on a very special occasion. 

The seven-week-old Prince attended celebrations with his mother Princess Sofia, 31, and father Prince Carl Philip at celebrations for Sweden's National Day in Stockholm.

The little Prince, who was dressed in a white outfit and wrapped in a grey blanket was as good as gold while his proud parents posed for photos. 

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Prince Alexander of Sweden made his public debut with his mother Princess Sofia and father Prince Carl Philip at celebrations for Sweden's National Day in Stockholm

It's the first public engagement Prince Alexander has attended since he was born in April. 

In keeping with the National Day, Princess Sofia dressed in traditional Swedish clothing.

She wore a brightly coloured folk outfit; a blue dress over a white collared shirt, with a mustard-coloured apron. The outfit is embroidered with flowers and worn with white tights and low heels.

Meanwhile, Prince Carl Philip, 37, looked dapper in a grey suit and blue tie. 

Doting new mother Princess Sofia checks that her little one is comfortable 

Princess Sofia wore the traditonal dress of a brightly coloured folk outfit: a blue dress over a white collared shirt, with a mustard-coloured apron

Prince Carl Philip's sister Crown Princess Victoria was also out and about for the celebrations. 

She opted not to don the traditional national dress but looked wonderfully summery in a colourful floral dress and baby pink cardigan. 

She was joined by her husband Prince Daniel, but the couple's two children Princess Estelle, four, and Prince Oscar, three months, remained at home. 

The couple looked happy and relaxed as the attended a citizenship ceremony at Nacka City Hall.

Later today, the royals are expected to attend a music concert in Sweden's honour at Stockholm's outdoor museum, Skansen.  

Crown Princess Victoria looked wonderfully summery in a colourful floral dress and baby pink cardigan

The Princess was in great spirits as she enjoyed celebrations for the Sweden's National Day

Victoria strolled arm in arm with her husband Prince Daniel but there was no sign of the couple's two children

New mother Victoria looked in great shape just four months after giving birth to her second child

Swedes celebrate their National Day on 6 June in honour of two historical events: on 6 June 1523, Gustav Vasa was elected king and, on the same date in 1809, the country adopted a new constitution. It became a public holiday in 2004.

Every year the King and Queen take part in a ceremony at Skansen, Stockholm’s open-air museum, where the yellow and blue Swedish flag is run up the mast, and children in traditional peasant costume present the royals with bouquets of summer flowers.

National Day also now recognises new Swedish citizens, welcoming them with special ceremonies held around the country.

The royal couped attend a citizenship ceremony on Sweden's National Day at Nacka City Hall

Prince Daniel looked smart in a dark blue suit as the couple strolled arm in arm 

The happy couple looked relaxed and affectionate with each other 

Princess Victoria was presented with flowers by well-wishers on Sweden's National Day 

Not normally known for being the most patriotic nation, National Day has been embraced over recent years, with some groups even pushing for the country to have a national dish, according to the country’s official website.

Prince Alexander Erik Hubertus Bertil, who was born on April 19 at Danderyds Hospital in Stockholm weighing at 7lbs 9oz. and measuring 19.3 inches long.

Hours after the birth, Carl Philip held a press conference at the hospital to announce the new arrival.

'When asked if he had cried during the birth, the prince replied, according to People magazine: 'Yes, actually. Of course. Couldn't stop.

The royals looked delighted to show off their new son to the world for the first time 

The couple greeted well wishers at celebrations in Stockholm 

'For me and my wife, this is obviously a great day with a lot of emotion. Words cannot describe.'

The birth of the couple's baby comes at an exciting time for the Swedish royal family who have recently welcomed a new baby, Prince Oscar Carl Olof.

Sofia's sister-in-law Crown Princess Victoria, sister of Prince Carl Philip, gave birth to her second child in March.

Former glamour model Sofia Hellqvist married the prince last June. The elegant brunette is known for her infectious gap-toothed smile and easygoing ways.

They dated for five years before walking down the aisle and now live together in the upmarket Djurgården district of Stockholm.

New mother Princess Sofia looked glowing as she attended National Day celebrations 

They married in the royal palace's chapel, with the bride wearing a lace wedding dress created by local designer Ida Sjöstedt.

But thanks to Princess Sofia's reality TV and glamour modeling past, Carl Philip's choice of wife initially proved controversial.

The now Duchess of Värmland's first shoot aged 20 saw her posing topless in a pair of camouflage print bikini bottoms and clutching a snake to preserve her modesty.

Unsurprisingly, when news of Carl Philip's new relationship emerged in 2010, the Swedish Royal Family were initially put 'on the defensive' as sources revealed at the time.

Since then, however, Sofia has gone out of her way to tone down her image.

Meanwhile Carl Philip has hit the headlines for antics of his own - not least his infamous 'wild summer' of 2012, during which he hit the Swedish party scene wearing an alien mask, and hitchhiked to a motoring competition after losing his Gucci wallet, going on to crash his car in the first race.