Hilaria Baldwin puts on a sweet display with her daughter Carmen as she and husband Alec take their two children for a walk in the park in Madrid

They're currently enjoying a glorious family holiday in Madrid.

And Alec and Hilaria Baldwin certainly looked to be having a wonderful, relaxing time as they stepped out for a brisk walk in the Spanish capital with their two children on Thursday.

Hollywood star Alec, 57, looked happy as he pushed his youngest child - six-month-old son Rafael - in his stroller while two-year-old daughter Carmen walked alongside her parents.

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Happy families: Alex and Hilaria Baldwin took their children, daughter Carmen and son Rafael, for a walk through Madrid's Buen Retiro Park on Thursday

Clearly enjoying the warm climate in the middle of winter, slender beauty Hilaria, 31, showed off her toned arms as she rocked a puffy gilet with a pair of slim-fitting leggings.

She looked as lovely as ever, flaunting her enviable petite figure in her casual gear while wearing her black tresses scraped back into a utilitarian ponytail, a pair of oversized shades covering her delicate features. 

But the yoga enthuasiast was upstaged in the fashion stakes by her little girl, who looked seriously cute and stylish in a full-skirted tweed coat and a little pink beanie hat with a bobble walking through the fallen leaves.

Sweet display: Hilaria, 31, picked up her two-year-old little girl - who looked sweet in a tweed coat and beanie hat - as they trekked through the idyllic park

Giving him a workout! The yoga instructor made sure her Hollywood star husband was well and truly stretched out as they squeezed in a fitness session in the park

Daddy daycare: 57-year-old Alec looked to be having a spot of bother with son Rafa's stroller as he carried it through the park

Although it was a family day out on their European getaway, the fitness-mad couple made sure to get in some exercise in the midst of their relaxing stroll through the city's idyllic Buen Retiro Park.

Giving her 30 Rock actor husband a helping hand with his stretches, Hilaria was seen holding back Alec's leg while he made sure he was well and truly warmed up and ready to go.

Hilaria and Alec - who have been married for three years - arrived with their two adorable tots in Spain at the weekend.

And, as ever, the social media-savvy yoga instructor has been keeping her fans up to date with pictures from their trip, mostly of her cute children.

Pout it out! Hilaria shared an adorable picture of her baby son Rafa pulling a funny pouty face

'Guapa': Another photo on her oft-used Instagram page showed her touching noses with her daughter Carmen, who looked sweet in her PJs

One seriously sweep snap showed Rafa, who was born in June this year, pulling a rather miserable face, clearly unimpressed with the day's activities.

The doting mother joked: 'And the award for best pout goes to....'

She also shared a photograph of herself with daughter Carmen in her PJs touched noses while she wrote the Spanish word 'Guapa', which means 'beautiful' in English.

As they headed to Spain earlier in the week, Hilaria shared a few photos on Instagram of Carmen on the plane, adding: 'Big girl Carmen in her own seat!! Off we go! Wish us luck.'

As the family landed after a long flight, she posted an adorable snapshot of baby Rafael as he can be seen near the plane's window; 'Hola España,' Hilaria wrote. 

The Oscar-nominee and his wife have been married since June 2012, and Alec also has a 20-year-old daughter Ireland Baldwin with his ex-wife actress Kim Basinger. 

Off they go! Earlier in the week, Hilaria posted a shot of her daughter looking out of the window on their way to the Spanish capital on the plane