Sajid Javid made the comments in a tweet that said he had made a "full recovery" from Covid-19.
On Sunday, he deleted the tweet and issued an apology after he was accused of being insensitive to the families of victims.
"I've deleted a tweet which used the word 'cower'," he said.
"I was expressing gratitude that the vaccines help us fight back as a society, but it was a poor choice of word and I sincerely apologise.
"Like many, I have lost loved ones to this awful virus and would never minimise its impact."
Earlier, the opposition Labour Party accused him of being "deeply insensitive" after he wrote: "Please – if you haven't yet – get your jab, as we learn to live with, rather than cower from, this virus."
He had been urging people to get vaccinated against Covid-19 as cases in the UK continue to rise.
Labour MP David Lammy criticised Mr Javid in a tweet, saying "129,000 Brits have died from Covid under your government’s watch".
"Don’t denigrate people for trying to keep themselves and their families safe," Mr Lammy said.
Munira Wilson, an MP for the Liberal Democrats, said Mr Javid's comments were a slight against those who adhered to Covid-19 restrictions throughout the pandemic.
"His careless words have insulted every man, woman and child who has followed the rules and stayed at home to protect others," she said.
"He owes them all, especially the millions who are shielding, an apology."
Campaign group Covid-19 Bereaved Families for Justice said his remarks were insensitive.
“The new health secretary's comments are deeply insensitive on a number of levels," the group said.
“Not only are they hurtful to bereaved families, implying our loved ones were too cowardly to fight the virus, but they insult all those still doing their best to protect others from the devastation this horrific virus can bring.
“Words matter and the flippancy and carelessness of this comment has caused deep hurt and further muddied the waters of the government's dangerously mixed messaging.
"We hope the Health Secretary will find time to meet with us and others who have lost loved ones to Covid-19 for us to be able to explain why these comments are so hurtful."
Mr Javid was appointed Health Secretary last month after Matt Hancock was forced to stand down.
Why your domicile status is important
Your UK residence status is assessed using the statutory residence test. While your residence status – ie where you live - is assessed every year, your domicile status is assessed over your lifetime.
Your domicile of origin generally comes from your parents and if your parents were not married, then it is decided by your father. Your domicile is generally the country your father considered his permanent home when you were born.
UK residents who have their permanent home ("domicile") outside the UK may not have to pay UK tax on foreign income. For example, they do not pay tax on foreign income or gains if they are less than £2,000 in the tax year and do not transfer that gain to a UK bank account.
A UK-domiciled person, however, is liable for UK tax on their worldwide income and gains when they are resident in the UK.
SPEC SHEET
Display: 10.4-inch IPS LCD, 400 nits, toughened glass
CPU: Unisoc T610; Mali G52 GPU
Memory: 4GB
Storage: 64GB, up to 512GB microSD
Camera: 8MP rear, 5MP front
Connectivity: Wi-Fi, Bluetooth 5.0, USB-C, 3.5mm audio
Battery: 8200mAh, up to 10 hours video
Platform: Android 11
Audio: Stereo speakers, 2 mics
Durability: IP52
Biometrics: Face unlock
Price: Dh849
Gran Gala del Calcio 2019 winners
Best Player: Cristiano Ronaldo (Juventus)
Best Coach: Gian Piero Gasperini (Atalanta)
Best Referee: Gianluca Rocchi
Best Goal: Fabio Quagliarella (Sampdoria vs Napoli)
Best Team: Atalanta
Best XI: Samir Handanovic (Inter); Aleksandar Kolarov (Roma), Giorgio Chiellini (Juventus), Kalidou Koulibaly (Napoli), Joao Cancelo (Juventus*); Miralem Pjanic (Juventus), Josip Ilicic (Atalanta), Nicolo Barella (Cagliari*); Fabio Quagliarella (Sampdoria), Cristiano Ronaldo (Juventus), Duvan Zapata (Atalanta)
Serie B Best Young Player: Sandro Tonali (Brescia)
Best Women’s Goal: Thaisa (Milan vs Juventus)
Best Women’s Player: Manuela Giugliano (Milan)
Best Women’s XI: Laura Giuliani (Milan); Alia Guagni (Fiorentina), Sara Gama (Juventus), Cecilia Salvai (Juventus), Elisa Bartoli (Roma); Aurora Galli (Juventus), Manuela Giugliano (Roma), Valentina Cernoia (Juventus); Valentina Giacinti (Milan), Ilaria Mauro (Fiorentina), Barbara Bonansea (Juventus)
Desert Warrior
Starring: Anthony Mackie, Aiysha Hart, Ben Kingsley
Director: Rupert Wyatt
Rating: 3/5
Bookshops: A Reader's History by Jorge Carrión (translated from the Spanish by Peter Bush),
Biblioasis
SPECS
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MATCH INFO
Day 1 at Mount Maunganui
England 241-4
Denly 74, Stokes 67 not out, De Grandhomme 2-28
New Zealand
Yet to bat
MATCH INFO
Day 2 at the Gabba
Australia 312-1
Warner 151 not out, Burns 97, Labuschagne 55 not out
Pakistan 240
Shafiq 76, Starc 4-52
Saturday's results
West Ham 2-3 Tottenham
Arsenal 2-2 Southampton
Bournemouth 1-2 Wolves
Brighton 0-2 Leicester City
Crystal Palace 1-2 Liverpool
Everton 0-2 Norwich City
Watford 0-3 Burnley
Manchester City v Chelsea, 9.30pm
Avatar%3A%20The%20Way%20of%20Water
%3Cp%3E%3Cstrong%3EDirector%3A%20%3C%2Fstrong%3EJames%20Cameron%3C%2Fp%3E%0A%3Cp%3E%3Cstrong%3EStars%3A%20%3C%2Fstrong%3ESam%20Worthington%2C%20Zoe%20Saldana%2C%20Sigourney%20Weaver%3C%2Fp%3E%0A%3Cp%3E%3Cstrong%3ERating%3A%20%3C%2Fstrong%3E3.5%2F5%3C%2Fp%3E%0A
Meydan racecard:
6.30pm: Al Maktoum Challenge Round 2 (PA) Group 1 | US$75,000 (Dirt) | 2,200 metres
7.05pm: UAE 1000 Guineas (TB) Listed | $250,000 (D) | 1,600m
7.40pm: Meydan Classic Trial (TB) Conditions | $100,000 (Turf) | 1,400m
8.15pm: Al Shindagha Sprint (TB) Group 3 | $200,000 (D) | 1,200m
8.50pm: Handicap (TB) | $175,000 (D) | 1,600m
9.25pm: Handicap (TB) | $175,000 (T) | 2,000m
10pm: Handicap (TB) | $135,000 (T) | 1,600m
SPECS
%3Cp%3E%3Cstrong%3EEngine%3A%3C%2Fstrong%3E%206-cylinder%203-litre%2C%20with%20petrol%20and%20diesel%20variants%3Cbr%3E%3Cstrong%3ETransmission%3A%20%3C%2Fstrong%3E8-speed%20automatic%3Cbr%3E%3Cstrong%3EPower%3A%3C%2Fstrong%3E%20286hp%20(petrol)%2C%20249hp%20(diesel)%3Cbr%3E%3Cstrong%3ETorque%3A%20%3C%2Fstrong%3E450Nm%20(petrol)%2C%20550Nm%20(diesel)%3Cbr%3E%3Cstrong%3EPrice%3A%20%3C%2Fstrong%3EStarting%20at%20%2469%2C800%3Cbr%3E%3Cstrong%3EOn%20sale%3A%20%3C%2Fstrong%3ENow%3C%2Fp%3E%0A
'The worst thing you can eat'
Trans fat is typically found in fried and baked goods, but you may be consuming more than you think.
Powdered coffee creamer, microwave popcorn and virtually anything processed with a crust is likely to contain it, as this guide from Mayo Clinic outlines:
Baked goods - Most cakes, cookies, pie crusts and crackers contain shortening, which is usually made from partially hydrogenated vegetable oil. Ready-made frosting is another source of trans fat.
Snacks - Potato, corn and tortilla chips often contain trans fat. And while popcorn can be a healthy snack, many types of packaged or microwave popcorn use trans fat to help cook or flavour the popcorn.
Fried food - Foods that require deep frying — french fries, doughnuts and fried chicken — can contain trans fat from the oil used in the cooking process.
Refrigerator dough - Products such as canned biscuits and cinnamon rolls often contain trans fat, as do frozen pizza crusts.
Creamer and margarine - Nondairy coffee creamer and stick margarines also may contain partially hydrogenated vegetable oils.
The biog
Hobbies: Salsa dancing “It's in my blood” and listening to music in different languages
Favourite place to travel to: “Thailand, as it's gorgeous, food is delicious, their massages are to die for!”
Favourite food: “I'm a vegetarian, so I can't get enough of salad.”
Favourite film: “I love watching documentaries, and am fascinated by nature, animals, human anatomy. I love watching to learn!”
Best spot in the UAE: “I fell in love with Fujairah and anywhere outside the big cities, where I can get some peace and get a break from the busy lifestyle”